Question

Factor completely.
5x^4– 20x^3+ 20x^2 =

Answer 1

Answer:

5x ^2 (x−2) ^2

Step-by-step explanation:

Answer 2

The factors of the given expression are 5x², (x - 2), and (x - 2).

It is given that the polynomial expression $\rm 5x^4-20x^3+20x^2$

It is required to find its factor.

What is polynomial?

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

We have a polynomial expression let's denote it with f(x)

$\rm f(x) = 5x^4-20x^3+20x^2$

$\rm f(x) = 5x^2(x^2-4x+4)$   ( taking $\rm 5x^2$ common factor)

$\rm f(x) = 5x^2(x^2-(2)(2)x+2^2)$  ( $4 = 2^2$ and 4x = (2)(2)x)

$\rm f(x) = 5x^2(x-2)^2$    ( $\rm (a-b)^2= a^2 -2ab+b^2$)

Thus, the factors of the given expression are 5x², (x - 2), and (x - 2).

Learn more about Polynomial here:

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