What is the remainder R when the polynomial p(x) is divided by (x-5)? p(x) = x³- 5x²+ 2x - 10
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SOLUTION
TO DETERMINE
The remainder R when the polynomial p(x) = x³- 5x² + 2x - 10 is divided by (x-5)
EVALUATION
Here the given polynomial is
p(x) = x³- 5x² + 2x - 10
Let g(x) = (x-5)
For Zero of the polynomial g(x) we have
g(x) = 0
⇒ x - 5 = 0
⇒ x = 5
By the Remainder Theorem the required Remainder
= R
= p(5)
FINAL ANSWER
Hence the required value of R = 0
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