Which expressions are equivalent to this expression?

30x2 − 5x − 10

5x(6x − x − 2)
5(2x − 1)(3x + 2)
-5(-6x2 + x + 2)
3x(2x − 1) + 2(2x − 1)
5(2x + 1)(3x − 2)
(10x − 5)(3x − 5)

Respuesta :

The required factors of the given quadratic polynomial is

[tex]5(3x-2)(2x+1)[/tex]

Quadratic Polynomial:

The general form of the quadratic polynomial is

[tex]ax^2+bx+c[/tex]

we can factorize the quadratic polynomial into linear factors

How to factorize quadratic polynomial?

We have given quadratic polynomial is

[tex]30x^2-5x-10[/tex]

take 5 as common

[tex]5(6x^2-x-2)[/tex]

Factorize the quadratic into linear factors now

[tex]5(6x^2-4x+3x-2)[/tex]

[tex]5(2x(3x-2)+1(3x-2))[/tex]

[tex]5(3x-2)(2x+1)[/tex]

This is the conclusion to the answer.

Hence the correct answer is (E).

Learn more about quadratic polynomial here-

https://brainly.com/question/1214333

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