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A teacher writes: 'When p $(x)$ is divided by $(x - 3)$ , the remainder is 0.'
What does this tell us about $(x - 3)$ ?

Class 10Division AlgorithmAlgebra — Polynomials

A $(x - 3)$ is a factor of p $(x)$
B $(x - 3)$ is the quotient of p $(x)$
Cp(3) is not equal to 0
Dp $(x)$ has degree 1

Step-by-Step Solution

Zero remainder means the division is exact, so

(x - 3)

divides p

(x)

completely, i.e. it is a factor.

Answer: A)

(x - 3)

is a factor of p

(x)

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