Let . If both and are factors of , what is the value of…

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Let p(x)=x3+ax2+bx+6p(x)=x^{3}+ax^{2}+bx+6. If both x−1x-1 and x−2x-2 are factors of p(x)p(x), what is the value of a+ba+b? (a) 77 (b) −6-6 (c) −7-7 (d) 55

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