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ICE Princess25 [194]
3 years ago
9

Factor the polynomial completely given that -2 is a zero. You must show the division of the polynomial, the new quadratic to be

factored and all three final factors of this polynomial.
f(x)=x^2+3x^2-10x-24
Mathematics
1 answer:
mojhsa [17]3 years ago
7 0
(x^2+3x^2-10x-24)/(x+2)
(4x^2-10x-24)/(x+2)
4x^2-10x-24=0
2x^2-5x-12=0
2x^2-5x-12/(x+2)
2x=(2x^2-5x)-(2x^2+4x)>>-9x-12
2x-9=(-9x-12)-(-9x-18)
2x-9=6
4x-18=12>>4x-6
(x-4)(2x+3) is the factorization
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The answer for this question is 26
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Earthquakes and volcanic eruptions. What is their cause?
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plates shifting continental drift

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A rectangle has a perimeter of 30 and a length of 10. Find the width.
bonufazy [111]

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5

Step-by-step explanation:

8 0
2 years ago
The common difference ,d in an arithmetic sequence whose fourth term is 16 and whose seventh therm is 31
Natali [406]

Answer: d=5

Step-by-step explanation:

Arithmetic progression

An=a1+d(n-1)

An= nth term

A1= first term

D= common difference

N= nth position

We are given the 4th and 7th terms

For 4th term,n=4

A4=a1+d(4-1)

A4= 16

16= a1+d(4-1)

16= a1+3d........equation 1

For the 7th term,n=7

A7=a1+d(7-1)

A7= 31

31=a1+6d......equation 2

Bring them together

16=a1+3d

31=a1+6d

Subtract equation 1 from 2

So we have

15=3d

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3 0
3 years ago
PLEASE HELP I WILL MARK BEAINLIST
Vlada [557]

Answer:

5981.25 m²

Step-by-step explanation:

1. Divide the court into two sections. One section being the semicircle, the other being the rectangle.

2. Multiply 100 by 50 to get the area of the rectangle, which is 5000.

3. Divide 50 by 2 to get the radius of the semicircle, which is 25.

4. Find the formula used for area of a semicircle A = \frac{1}{2}\pir²

5. Insert 25 into where the "r" is in the equation: A = \frac{1}{2}\pi(25²), resulting in about 981.25. (I replaced \pi with 3.14)

6. Add the area of the rectangle with the area of the semicircle, 5000 + 981.25 = 5981.25.

7. The final answer is 5981.25 m².

6 0
3 years ago
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