6x^3-28x^2+16x

Question

6x^3-28x^2+16x

chihiroasleaf · Answer

what is the question?

anonymous · Answer

im trying to find the trinomial factorization

anonymous · Answer

the correct answer is 2x(3x-2)(x-4) i just don't know how to get it

chihiroasleaf · Answer

First, find the common factor of all term,
$$6x ^{3}-28x ^{2}+16x$$
can you tell what is the common factor of 6x^3, 28x^2, and 16x ?

anonymous · Answer

2x right?

chihiroasleaf · Answer

yes, now you can factor the expression
what is the result if you factor out 2x ?

anonymous · Answer

2x(3x^2-14x+8x)

chihiroasleaf · Answer

yes..., 
now you should factor the expression in the bracket,
can you factroze it?

anonymous · Answer

how do i do that?

anonymous · Answer

is it 3x^2-6x^2

chihiroasleaf · Answer

wait.., I think you did a little mistake before, the last term is 16x, so if you factor 2x, it should be 8 in the bracket
so, you should get 2x(3x^2-14x+8)

anonymous · Answer

ok and then what do i do from there

chihiroasleaf · Answer

to factor $$3x ^{2}-14x+8$$
you will separate -14x become ax+bx such that
a+b = -14 and ab=3 x 8 = 24
can you find a and b?

anonymous · Answer

ok thanks!