Question

9. If 35 is the remainder when 2 + ax+7 is divided by x- 4. find the value of a​

Answer 1

Let p (x) = 2 + ax + 7

Now p (x) is divided by x – 4

hence we put x = 4 in p ( x )

p ( 4 ) = 2 + 4a + 7

p ( 4 ) = 9 + 4a

Given that remainder is 35

Hence, P ( 4 ) = 35

35 = 9 + 4a

4a = 35 – 9

4a = 26

a = 26 /4

a = 13/2