Factorise p(x)=2x^3+3x^2+3x+2?

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Answer 1 · 2018-04-20T12:59:35

#p(x)=(x+1)(2x^2+x+2)#

#p(x)=2x^3+3x^2+3x+2#

Rearrange

#p(x)=2x^3+2+3x^2+3x#

#p(x)=2(x^3+1)+3(x^2+x)#

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

Take #x+1# as a common factor

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

Simplify

#p(x)=(x+1)(2x^2+x+2)#