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

Answer:

the remainder is -49

Step-by-step 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