Question

if p(x) = x^3 + 1 is divided by x + 1 , the reminder is zero than x = ______

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Answer 1

Answer:

ANSWER

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)