Question

Complete the following statement.

If p ( x ) = x 2 + 7 x + 3 is divided by x + 4 , the remainder is:

Answer 1

if
`p ( x ) = x^2 + 7 x + 3` is divided by
`x + 4`, the remainder is -9

Explanation:

We need to find the remainder if
`p ( x ) = x^2 + 7 x + 3` is divided by
`x + 4`

Dividing
`p ( x ) = x^2 + 7 x + 3` by
`x + 4`

The division is shown in figure attached.

The remainder = -9

The quotient = x+3

So, if
`p ( x ) = x^2 + 7 x + 3` is divided by
`x + 4`, the remainder is -9