Question

Question 3 part c (6 points): continuing the factoring process from part a and b, factor the following polynomial completely. to receive full credit you must show all steps of your work.
7a^10 - 112a^2

Answer 1

The factor of the polynomial 7a¹⁰- 112a² is 7a²(a²+2a+2)(a²-2a+2)(a²+2)(a²-2)

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

$\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n$

We have:

$\rm = 7a^1^0 - 112a^2$

$\rm =7a^2\left(a^8-16\right)$

$\rm =7a^2\left((a^4)^2-4^2\right)$

$\rm =7a^2\left(a^4-4\right)(a^4+4)$

$\rm =7a^2\left(a^2+2a+2\right)\left(a^2-2a+2\right)\left(a^2+2\right)\left(a^2-2\right)$

Thus, the factor of the polynomial 7a¹⁰- 112a² is 7a²(a²+2a+2)(a²-2a+2)(a²+2)(a²-2)

Learn more about Polynomial here:

brainly.com/question/17822016

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