If p(x) is a polynomial in variable x is divided by ax+ b then the remainder is *
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Step-by-step explanation:
p(x)=(ax−b)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
ax−b=0
x=b/a
hence putting it we get
p(
a
b
)=0
p(b/a)=r(b/a)
hence the remainder is p(b/a)
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