If a polynomial P(x) is divided by x-c, then P(x) = Q(x)(x-c) + R where Q(x) is the quotient and R is the remainder. If x = c, what is the result?
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If a polynomial P(x) is divided by x-c, then P(x) = Q(x)(x-c) + R where Q(x) is the quotient and R is the remainder. If x = c, what is the result?
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Answer:
If x = c, then the divisor x - c becomes 0, and the equation P(x) = Q(x)(x-c) + R becomes P(c) = Q(c)(c-c) + R, which simplifies to P(c) = R.
Therefore, if a polynomial P(x) is divided by x-c, and x=c, the result is simply the remainder R.