How do you factor the trinomial #16x^3 − 24x^2 + 8x#?

1 Answer
George C.
Dec 18, 2015

Separate out the common factor of the terms, then factor by grouping to find:

#16x^3-24x^2+8x=8x(2x-1)(x-1)#

Explanation:

Separate out the common factor #8x# of the terms, then split the middle term of the remaining quadratic and factor by grouping:

#16x^3-24x^2+8x#

#=8x(2x^2-3x+1)#

#=8x(2x^2-2x-x+1)#

#=8x((2x^2-2x)-(x-1))#

#=8x(2x(x-1)-1(x-1))#

#=8x(2x-1)(x-1)#

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