Question

4.
If a polynomial f (x) is divided by x? - 9 then remainder is 3x + 2 , what will be
the remainder when the same polynomial is divided by (x-3)?​

Answer 1

Answer:

11

Step-by-step explanation:

since 3x+ 2 is a reminder when f(x) is divided by x^2 - 9 ,this means for some (unimportant) polynomial g(x) we have

f(x) = (x^2- 9) g(x)+3x +2

by the remainder theorem, when the remainder f(x) is divided by x-3 is f(3) .so the remainder is

f(3)= (3^2-9) g(3) + 9 +2 =0 + 9 + 2 =11

Hope it will help u!!!!