Question

The remainder obtained when the polynomial p(x) is divided by (b-ax) is :

WITH FULL EXPLANATION
STEP BY STEP ​

Answer 1

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)