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Leto [7]
3 years ago
8

Please help me out!!!!!

Mathematics
1 answer:
Neko [114]3 years ago
3 0

Given:

The zeros of the polynomial are -2,\pm 5,4.

Degree = 4

Leading coefficient  = 1

To find:

The polynomial.

Solution:

If c is a zero of a polynomial, then (x-c) must be a factor of the polynomial.

Here, -2,4,-5, 5, are zeros of the required polynomial, so (x+2), (x-4), (x+5), (x-5) are factors of required polynomial.

p(x)=(x+2)(x-4)(x+5)(x-5)

p(x)=(x^2-4x+2x-8)(x^2-5^2)     [\because a^2-b^2=(a-b)(a+b)]

p(x)=(x^2-2x-8)(x^2-25)

Using distributive property, we get

p(x)=x^2(x^2-25)-2x(x^2-25)-8(x^2-25)

p(x)=x^4-25x^2-2x^3+50x-8x^2+200

On combining like terms, we get

p(x)=x^4-2x^3+(-25x^2-8x^2)+50x+200

p(x)=x^4-2x^3-33x^2+50x+200

Here, the leading coefficient is 1. So, it is the required polynomial.

Therefore, the correct option is E.

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4 0
3 years ago
What is the area of the trapezoid?
kykrilka [37]
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8 0
3 years ago
Write the equation of the line with a slope of 24 and a y-intercept of -5​
zmey [24]

Answer:

y=24x-5

Step-by-step explanation:

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8 0
3 years ago
The inner orbit is designated by the number __________.
fomenos
The inner orbit is designated by the number 1
7 0
3 years ago
HELP Combining like terms solve all please :) c
In-s [12.5K]

Answer:

11. x = -16

12. k = 6

13. x = -19

14. x = -6

15. x = -20

16. Combining like terms isn't to be used on this type of problem. I'm sorry, can you guess on this one?

17. x = 19

18. n = -10

19. b = 11

20. n = 4

21. r = -6

22. n = -4

Again super sorry about question 16 :(

6 0
3 years ago
Read 2 more answers
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