Question

What is the remainder when (2x3 + x2 – 3x + 4) is divided by x – 2?

Answer 1

The remainder is

−

7

Explanation:

When

P ( x ) = 2 x 3 – x 2 – 3 x + 7 is divided by x + 2 ,we are dividing by x −( − 2), so the remainder will be: P ( − 2 ) = 2 − 2 ) 3 –

(

−

2

)

2

–

3

(

−

2

)

+

7

=

−

16

−

4

+

6

+

7

=

−

20

+

13

=

−

7