Question

Factor.

10x5−16x4+4x2

Answer 1

the correct answer is 2x^2(5x^3-8x^2+2)

Answer 2

The factor form is
`\Rightarrow 2x^2(5x^3-8x^2+2)`

Explanation:

Given:
`10x^5-16x^4+4x^2`

Factor the polynomial.

First we take common from each term and then factor trinomial

`\Rightarrow 10x^5-16x^4+4x^2`

`10x^5\rightarrow 2x^2\cdot 5x^3`

`16x^4\rightarrow 2x^2\cdot 8x^2`

`4x^2\rightarrow 2x^2\cdot 2`

So,
`2x^2` common from each term and write rest inside the parentheses.

`\Rightarrow 2x^2(5x^3-8x^2+2)`

Hence, The factor form is
`\Rightarrow 2x^2(5x^3-8x^2+2)`