Question

Find the remainder when f(x) = 5x3 + 7x + 5 is divided by x + 2.

Answer 1

The remainder is 49.
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Answer 2

the remainder is -49

Explanation:

`f(x) = 5x^3 + 7x + 5` is divided by
`x + 2`

To find out the remainder we use remainder theorem

Divisor is
`x + 2`. Set it =0 and solve for x

`x+2=0 , x=-2`

Plug in -2 for x in f(x)

Replace all x by -2

`f(x) = 5x^3 + 7x + 5`

`f(-2) = 5(-2)^3 + 7(-2) + 5=-49`

So the remainder is -49