Question

What is the factored form Of
6x^2 -4x + 15x - 10

Answer 1

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

Explanation:

Given

6x² - 4x + 15x - 10 ( factor the first/second and third/fourth terms )

=2x(3x - 2) + 5(3x - 2) ← factor out (3x - 2) from each term

= (3x - 2)(2x + 5) ← in factored form

Answer 2

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

or

(2x+5)(3x-2) by commutative property

Explanation:

Let's try factoring by grouping.

`6x^2-4x+15x-10`

I'm going to group the first two terms together and the second two terms together.

`(6x^2-4x)+(15x-10)`

Now I'm going to factor what I can from each pair:

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

Now if you look at the terms 2x(3x-2) and 5(3x-2) you should see they have a common factor of (3x-2) so we can factor that out now.

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

Factoring by grouping was a successful here.