Question

polynomial 2x cube - 2 X square + X - a when divided by x minus 2 leaves remainder 5 find the value of a

Answer 1

hope it helps u .....

Answer 2

Answer:

The value of a is 5.

Step-by-step explanation:

Given the polynomial $2x^3-2x^2+x-a$

when the above polynomial is divided by x-2 leaves the remainder 5.

we have to find the value of a

By remainder theorem, when f(x) is divided by (x-a), remainder is f(a).

The polynomial $f(x)=2x^3-2x^2+x-a$ is divided by x-2 leaves the remainder 5.

Here, f(2)=5

$2(2)^3-2(2)^2+2-a=5$

⇒ 16-8+2-a=5[/tex]

⇒ a=5