Q:

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

Accepted Solution

A:
Answer:(3x-2)(2x+5)or(2x+5)(3x-2) by commutative propertyStep-by-step explanation:Let's try factoring by grouping.[tex]6x^2-4x+15x-10[/tex]I'm going to group the first two terms together and the second two terms together.[tex](6x^2-4x)+(15x-10)[/tex]Now I'm going to factor what I can from each pair:[tex]2x(3x-2)+5(3x-2)[/tex]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.