Is (x − 2) a factor of p(x) = x² − 5x + 6?

p(2) = 4 − 10 + 6 = 0 → yes, it is a factor.

Find the remainder when x³ + 3x² − 4 is divided by (x + 1).

p(−1) = −1 + 3 − 4 = −2.

(x − a) is a factor of p(x) if and only if p(a) = 0.

tamil-nadu-class-9 · Mathematics

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Expand (2x + 3)².

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