Question

What is the remainder when x2 + 15x + 9 is divided by x + 5 ?0 -41O 49O 42O 59

Answer 1

When a polynomial is dived by x - a, to find the remainder, we can plug is x = a into the equation and find the remainder.

When it is divided by x + a, the remainder is found by plugging in x = -a.

Now, the polynomial here is:

`x^2+15x+9`

It is divided by x + 5, so we need to plug in x = -5 to get the remainder, which is:

`\begin{gathered} x^2+15x+9 \\ (-5)^2+15(-5)_{}+9 \\ =-41 \end{gathered}`

The remainder is - 41, 1st answer choice.