Given Polynomial P(x) = x^3+4x^2-px+8
Given that P(x) is exactly divisible by (x-2) then by
factor theorem it is a factor and P(2) = 0
⇛ (2)^3+4(2)^2-p(2)+8 = 0
⇛8+4(4)-2p+8 = 0
⇛ 8+16-2p+8 = 0
⇛ 32-2p = 0
⇛32 = 2p
⇛ 2p = 32
⇛ p = 32/2
⇛ p = 16
Answer:- The value of p is 16.
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Similar Questions
Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial...
https://brainly.com/question/12852511?referrer
Answer:
16.
Step-by-step explanation:
By the Factor Theorem if a polynomial is divisible by (x - a) then f(a) = 0 so here we have:
f(2) = 2^3 + 4(2)^2 - 2p + 8 = 0
-2p + 32 = 0
p = 16.
HELP PLSASE: Find the solution of the system of equations.
2
x
+
4
y
=
2x+4y=
−
16
−16
−
2
x
+
2
y
=
−2x+2y=
−
2
−2
Answer:
Step-by-step explanation:
x
=
−
24
y
=
10
Explanation:
x
+
4
y
=
16
2
x
−
4
y
=
8
Subtract the bottom equation from the top one so the
+
4
y
and
−
4
y
cancel each other out.
−
x
=
24
x
=
−
24
x
+
4
y
=
16
−
24
+
4
y
=
16
4
y
=
40
y
=
10
How to find missing angle of a right triangle given 2 sides
Answer:
As a rule of thumb, if you know only the two shorter side, their ratio is the tangent of the angle opposed to the side you use as a numerator.
If you know one side and the hypotenuse, the ratio side/hypotenuse is either the sine of the opposite angle, or the cosine of the adjacent angle.
PLZ HELP ME with this hw
Which of the fractions below is closest to zero? 1/4 1/5 1/6 1/8
Answer:
the answer to this question is 1/8
Step-by-step explanation:
1/4 is the biggest of the fractions,with 1/5 being the second biggest,and 1/6 being the 3rd biggest which leaves 1/8 as being the smallest and closest to 0
becouse it Was coll and Arm to Freizeit time
1/6 to the power of 3
Answer:
0.00462962962
Step-by-step explanation:
Sophie can cut Two-fifths ft piece from a 4 ft length of wood.
Answer:
she can cut 2/20=18 left
Step-by-step explanation:
Answer:
the anser is 10 edge 2022
Step-by-step explanation:
Jim donates 22% of his monthly salary to charity. If his monthly salary is $2257, approximately how much of his salary does Jim keep?
PLSSS HELP!!!! I offer 25 points!!
A box has a volume of 1008 cubic inches. Your friend told you that he found the polynomial that represents the volume of the box: 4x³-28x² +144x. If x is the height of the box how tall is the box?
Answer:
7 inches tall
Step-by-step explanation:
A graphing calculator quickly finds the solution to the cubic equation. It is convenient to define ...
f(x) = 4x^3 -28x^2 +144x -1008
so f(x) = 0 gives the value of x that is of interest. That value is x=7.
The box is 7 inches tall.
_____
The equation f(x) = 0 can be divided by 4 to give ...
x^3 -7x^2 +36x -252 = 0
This can be factored by grouping:
(x^3 -7x^2) +(36x -252) = 0
x^2(x -7) +36(x -7) = 0
(x -7)(x^2 +36) = 0
The only real root is x = 7, which makes a factor zero.
_____
Additional comment
For finding solutions to cubic and higher-degree polynomials, I find a graphing calculator to be an extremely helpful tool. Desmos provides an online calculator and apps for various platforms. It may take a little while to learn how to use it effectively, but it can save immense amounts of time and frustration. Of course, your handheld graphing calculator can be just as useful.
help me with this please and thank you !!
Answer:
I hope this helps.
Camilla thinks that -5 is less than -7 because 5 is smaller than 7.explain why Camilla is correct
Think of a vertical number line. The positive values count down as we move down this number line. The negative numbers count up, so to speak, as we move down the number line. So we have -1, -2, -3, ... as we move down. This indicates that -5 is not smaller than -7.
Diagram is below.
Hyung-Jin did an analysis of starting salaries of elementary school teachers in his area. He called three schools and was quoted the following salaries: \$28,300,\$27,000 , and $ 3,000, . What is the average salary in his area? Show your work.
Answer:
average - $19,333.33
Step-by-step explanation:
$28,300, $27,000 , and $ 3,000
total =58,000/3 = 19,333.33
Which sentence in this conclusion paragraph most clearly reminds the reader of the main points?
(1) As the evidence has shown, Faith is not only Goodman Brown's wife but also a symbol of his weakening faith. (2) He ignores her advice not to leave Salem, and he loses her in the woods, two events that show that his faith is fading
(3) Indeed, the ending of the story suggests that his faith is never restored.(4) In many ways, Goodman Brown's relationship with faith and Faith is a warning.
(A. Sentence 1
( B. Sentence 4
( C. Sentence 2
( D. Sentence 3
No links.
Answer:
Step-by-step explanation:
I’m doing this too right now and can’t figure it out
The answer is A. Sentence 1
7990 was rounded to the nearest ten. What is the lower bound?
Here we will tell you what 7990 is rounded to the nearest ten and also show you what rules we used to get to the answer.
Remember, we did not necessarily round up or down, but to the ten that is nearest to 7990.
First, 7990 rounded to the nearest ten is:
7990
A coat is priced $50. If the sales tax is 7% of the price, how much is the sales tax? What is the total cost including sales tax?
Answer:
The sales tax is $3.5
The total cost is $53.5
Step-by-step explanation:
To find the sales tax, you have to find the 7 percent of 50 dollars. In decimal form, 7% is 0.07. So you just have to multiply 0.07 to 50.
50 x 0.07 = 3.5
That's why $3.5 is the sales tax.
In order to get the total cost including sales tax. You just have to add $50 to the sales tax which is $3.5.
$50 + $3.5 = $53.5
which expression is equivalent to 3(x+5)-6
A) 3x-3
B)3x-1
C )3x+9
D) 15x-6
Answer:
answer C. 3x + 9
Step-by-step explanation:
3(x + 5) - 6 =
3x + 15 - 6 =
3x + (15 - 6 ) =
3x + 9
3(x+5)-6
Multiply 3 by the inside parenthesis:
3x+15-6
Subtract
3x+9
This means our answer is C) 3x+9
I hope this helps! :)
In two or more complete sentences, explain how to use ordered pairs of points in S (x) and g(z) to determine if (2)
and g(x) are inverses of each other
Answer:
x=2x4=s
Step-by-step explanation:
because x+2x4=s
Solve (x – 3)² =5 give your answers to the correct 3 significant figures
Answer:
5.236
Step-by-step explanation:
Please help me please pleaee
Hello,
A.i. the circumference of a circle is nothing else but its perimeter which formula is π × diameter = π × 2 × radius
Let π = 22/7 ≈ 3.142857, the egyptian approximation
Then if C is the circumference of the circle i., C = 22/7 × 21 = (22 × 21) / 7 = (22× 7×3 )/7 = 22 ×3 = 66 cm
ii. Applying the same formula for the second circle gives us C = 22/7 × 8 = 176/7 ≈ 25.14 meters, rounded to the nearest hundredth...
Good luck !
Answer:
a) 66cm. b) 50.28cm. or 50 2/7cm.
Step-by-step explanation:
The circumference of a circle is C=2πr or C=πd.
π=22/7
a) C=πd
Plugin the diameter.
C=22/7 x 21
=66cm.
b) C=2πr
Plugin the radius.
C=2 x 22/7 x 8
=50.28cm. or 50 2/7cm.
Hope this helps :)
The perimeter of a rectangle is 40 cm. The length is 14 cm.
Let x = width of the rectangle.
Ravi says he can find the width using the equation 2(x + 14) = 40.
Fran says she can find the width using the equation 2x + 28 = 40.
Answer the questions to solve the equations and to compare the steps and solutions.
1. Which of these is the most helpful first step for solving Ravi's equation, 2(x + 14) = 40?
Circle the best answer.
Add 14 to both sides
Subtract 14 from both sides
Divide both sides by 2
Multiply both sides by 2
2. What would your next step be?
Write your answer in the space below.
3. Solve Ravi's equation, 2(x + 14) = 40, to find the width of the rectangle. Show your work.
Write your answer in the space below.2(x +14) = 40 (use the distributive property)
2x + 28 = 40 (solve exactly like you did for Fran)
2x = 12
x = 6
4. Which of these is the most helpful first step for solving Fran's equation, 2x + 28 = 40?
Circle the best answer.
Multiply both sides by 2
Subtract 28 from both sides
Divide both sides by 2
Add 28 to both sides
5. What would your next step be?
Write your answer in the space below.
6. Solve Fran's equation, 2x + 28 = 40, to find the width of the rectangle. Show your work.
Write your answer in the space below.
7. The two equations have different solution steps. Do they have the same solution? Use the distributive property to show why this answer makes sense.
Write your answer in the space below
Answer:
Below.
Step-by-step explanation:
1. Divide both sides by 2.
2. After dividing both sides by we would have:
x + 14 = 20
The next step would be
Subtract 14 from both sides.
3. 2(x + 14) = 40
x + 14 = 20
x = 20 - 14
x = 6.
2x + 28 = 40
2x = 40 - 28
2x = 12
x = 6.
PLEASE HELP GIVING BRAINLIEST :)
15.6 degrees Fahrenheit in 13 minutes
Answer:
1.2 degree Fahrenheit per minute.
per minute.
Step-by-step explanation:
We are supposed to find the unit rate for 15.6°F in 13 minutes.
To find the unit rate for our given scenario, we will divide 15.6 by 13 as:
Therefore, our required unit rate would be 1.2 degree Fahrenheit per minute.
b. Solve 3v – 5 = 2v + 10 by gathering the constant terms on the left side
and the variable terms on the right side of the inequality.
Answer:
so subtract -2v to the left side add 5 to the right side so your left with
v = 15
Answer:
15 = v
Step-by-step explanation:
First start by grouping like terms,
=> - 5 - 10 = 2v - 3v
evaluate the LHS and RHS
=> - 15 = - v
Divide through by the coefficient of v, which in this case is - 1
=>
[tex] \frac{ - 15}{ - 1} = v[/tex]
Therefore, 15 = v
Graph the line passing though (-6,-1) whose slope is m= -4/3
y=-4/3x-9
hope it helps
2H20 1) How many hydrogen atoms are represented by this much water? A) 1 B) 2 0.4 D) 6
Stacy and Jessica own a small business. Stacy, working alone can complete a job in 8 hours. Jessica can complete the same job in 9 hours. How long would it take them to complete the job working together?
Answer:
17 hour
Step-by-step explanation:
8+9=17
WILLL GIVE POINTS
Use the Polygon tool to draw an image of the given polygon under a dilation with a scale factor of 1/3 and center of dilation at (0, 0) .
The points of the polygon =(3,3) (0,3) (6,-6) (9,6)
Answer:
(1,1) (0,1) (2,-2) (3,2)
Step-by-step explanation:
So with dilation you have to mulitply thE numbers by the one said in the problem which Was 1/3. So after doing that I got those coordinates.
Answer correctly and get brainless and 20 points
Answer:
D. x = 12.4
Step-by-step explanation:
A. (2.4) - 5 = 7.4
-2.6 = 7.4
B. (6.9) - 5 = 7.4
1.9 = 7.4
C. (7.9) - 5 = 7.4
2.9 = 7.4
D. (12.4) - 5 = 7.4
7.4 = 7.4
if the given data is 20,30 3x+5 divided by 2 ,50, 60 and the median is 40 find the value of x
Answer:
in the image. Median is the middle number
In addition to the car payment, Jackson and Bonnie estimate they will spend $200 on utilities, $140 on gasoline, $200 for groceries, $55 for cell phone, and $45 for car insurance. What will be the total of the monthly bills?
Find the equation of this line. i’m really confused and i really need help.