Question

Factor the trinomial by grouping
12x^3-15x^2-18x
Can someone explain the steps to me

Answer 1

before grouping look for a common factor among all terms

Answer 2

the GCF is 3x

Answer 3

good factor it out

Answer 4

When factored out it gives us 3x(4x^2-5x-6)

Answer 5

nice,now inside the paranthesis:4(-6)=-24 so which two numbers has a product of -24 and a sum of -5?

Answer 6

3, and 8

Answer 7

3 and -8
so rewrite it as
3x(4x^2-8x+3x-6)
now you can factor by grouping each 2 inside the ( )

Answer 8

then you have 3x(4x(x-2)+3(x-2)

Answer 9

good ,and the common factor inside the paranthesis is?

Answer 10

x-2

Answer 11

so the final answer is?

Answer 12

3x(4x+3)(x-2)

Answer 13

very good

Answer 14

thank you

Answer 15

yw