Question

PROVE : When p(x) is divided by (x-a), let q(x) be the quotient and by reminder theorem, the reminder is p(a) ​

Answer 1

Step-by-step explanation:

p(x)=(x-a)q(x)+r(x)

where q(x) is the quotient when f(x) is divided by x-a and r(x)

The Remainder Theorem says that we can restate the polynomial in terms of the divisor, and then evaluate the polynomial

x=a

hence putting it we get

p(a)=0*q(a)+r(a)

p(a)=r(a)

hence the remainder is p(a)

hence proved

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