How do you factor #y= 2x^3 + 16x2 + 7x + 56# ?

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Answer 1 · 2015-12-30T13:15:23

Use factor by grouping. The working is shown below.

#y=2x^3+16x^2 + 7x + 56#

#y=(2x^3+16x^2)+(7x+56)# Grouped the terms.

Next step is to factor out the GCF from each group.

#y=2x^2(x+8)+7(x+8)#

Now to factor out GCF of both the groups.

#y=(x+8)(2x^2+7)#

This is the final answer as we can't factor it further.