Question

The polynomials ax3 + 3x2 - 3 and 2x3 - 5x + a when divided by (x - 4) leaves remainders R1 & R2
respectively
then value of ‘a’ if 2R1 - R2
= 0.
​

Answer 1

Answer:

a=18/127

Step-by-step explanation:

x-4=0

x=4

1. p(x)= ax³+3x²-3

p(4)= a(4)³+3x³-3

=64a+48-3

=64a+45=R1

2. p(x)=2x³-5x+a

p(4)= 2(4)³-5(4)+a

=128-20+a

=108+a=R2

Now, 2R1-R2=0

2R1=R2

2(64a+45)=108+a

128a+90=108+a

128a-a=108-90

127a=18

a=18/127