Question

If the polynomials 2x3+ 3x2 – a and ax3 - 5x +2 leaves the same remainder when each is divided by (x-2), find the value of
a.

Answer 1

Let f(x)=2x3+3x2-a
f(x)=ax3-5x+2
So, (x-2)
x=2
Therefore, f(2)=2(2)^3+3(2)^2-a
=2(8)+3(2)-a
=16+6-a
=22-a
a =22
Therefore the value of a is 22

Answer 2

Answer:22

explanation ;

Let p(x)=2x3+3x2-a

p(x)=ax3-5x+2

So, g(x)=(x-2)

g(0)=x=2

Therefore, p(2)=2(2)^3+3(2)^2-a

=2(8)+3(2)-a

=16+6-a

=22-a

a =22

Therefore the value of a is 22