Let . If is a zero of , which of the following lists all the zeros of…

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

Problem

Let p(x)=2x3+kx2−18x+9p(x)=2x^3+kx^2-18x+9. If x=3x=3 is a zero of p(x)p(x), which of the following lists all the zeros of p(x)p(x)? (a) 3, −3, 23,\,-3,\,2 (b) 3, −3, 123,\,-3,\,\dfrac{1}{2} (c) 3, 1, −123,\,1,\,-\dfrac{1}{2} (d) 3, −32, −33,\,-\dfrac{3}{2},\,-3

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