Question

6x 2 - 3x - 30 mathematics?

Answer 1

3 (2x-5)(x+2)

Explanation:

We are given the following quadratic expression:

`6x^2-3x-30`

and we are to solve this by factorizing.

For that, we will take 3 as a common and factorize the rest of the expression.

`6x^2-3x-30`

`3(2x^2-x-10)`

Findinf factors of
`(2x^2-x-10)` such that when multiplied they give a product of -20 and when added they give a result of -1:

`3(2x^2+4x-5x-10)\\\\3((2x(x+2)-5(x+2))\\\\3(2x-5)(x+2)`

Therefore, the factors of the given expression
`6x^2-3x-30` are
`3(2x-5)(x+2)`.