When you divide one polynomial, p(x), by a linear polynomial, q(x), you get a remainder. This remainder is actually equal to p(a), where a is the root of q(x).
Remainder theorem
Algebra • Calculus

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Algebra • Calculus
When you divide one polynomial, p(x), by a linear polynomial, q(x), you get a remainder. This remainder is actually equal to p(a), where a is the root of q(x).