Question

What is the remainder R when the polynomial p(x) is divided by (x-5)? p(x) = x³- 5x²+ 2x - 10​

Answer 1

Step-by-step explanation:

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Answer 2

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)

$\sf = {(5)}^{3} - 5 \times {5}^{2} + (2 \times 5) - 10$

$\sf = 125 - 125 +10 - 10$

$\sf = 0$

FINAL ANSWER

Hence the required value of R = 0

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