If P(x) is divided by (ax + b) then the remainder is
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Answer:
p(b/a)
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( ab )=0
p(b/a)=r(b/a)
hence the remainder is p(b/a)
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