Question

What is the completely factored form of 3x5 – 7x4 + 6x2 – 14x?

Answer 1

Given:

The expression is:

`3x^5-7x^4+6x^2-14x`

To find:

The complete factor form of the given expression.

Solution:

We have,

`3x^5-7x^4+6x^2-14x`

Tanking out the GCF, we get

`=x(3x^4-7x^3+6x-14)`

`=x(x^3(3x-7)+2(3x-7))`

`=x(x^3+2)(3x-7)`

Therefore, the complete factor form of the given expression is
`x(x^3+2)(3x-7)`.