Q5 of 64 Page 30

Examine the validity of the following statements:

(x — 3) is a factor of p(x) = x2 — 2x — 3

Given, p(x) = x2 — 2x — 3


For (x – 3) to be a factor of p(x), the condition: p(3) = 0; should be satisfied.


p(3) = (3)2 – 2(3) – 3


= 9 – 6 – 3


= 0


Thus, (x –3) is a factor of the given polynomial.


⇒ The given statement is valid.


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