When a polynomial satisfies

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

Problem

When a polynomial p(x)p(x) satisfies p(3)=0p(3)=0, which one of the following statements is always true? (a) x+3 is a factor of p(x)x+3 \text{ is a factor of } p(x) (b) The remainder on dividing p(x) by x−3 is 3\text{The remainder on dividing } p(x) \text{ by } x-3 \text{ is } 3 (c) x−3 is a factor of p(x)x-3 \text{ is a factor of } p(x) (d) The degree of p(x) is 3\text{The degree of } p(x) \text{ is } 3

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