Question

17. p(x)= ax + 3x² -3 and g(x)=2x-5x+ a divided by (x-4) leave the same remainder. Then 'a' = .. ​

Answer 1

Answer:

Correct option is

B

127

18

By Remainder Theorem,

R

1

=a(4)

3

+3(4)

2

−3=64a+45 ...(i)

R

2

=2(4)

3

−5(4)+a=128−20+a=108+a ...(ii)

Given: 2R

1

−R

2

=0

∴2(64a+45)−(108+a)=0 (from (i) and (ii))

⇒128a+90−108−a=0

⇒127a=18

a=

127

18