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makvit [3.9K]
2 years ago
15

what is the relation between the remainder and the value of the polynomial at x=r when the polynomial P(x) is divided by a binom

ial of the form x-r??
Mathematics
1 answer:
damaskus [11]2 years ago
8 0

Answer:

The relationship is that the remainder is the value of P(x) at x = r. That is P(r)

Step-by-step explanation:

By the remainder theorem which states that if a linear factor x - a divides a polynomial P(x), then the remainder is the value of P(x) at x = a, that is P(a).

So for our question, when P(x) is divided by x - r, the remainder is obtained when x = r i inserted into P(x), that is P(r) which is the value of P(x) at x = r.

So, the remainder when P(x) is divided by x - r is the value of P(x) at x = r, that is P(r).

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