What is the remainder when x^2 + 5x - 24 is divided by x - 6?

Question

asked Mar 14, 2023 184k views

1 Answer

David Geismar · Answer 1 · 2023-03-19T07:21:08+0000

Given:

The dividend is,

The divisor is,

To find: The remainder

Step-by-step explanation:

Let us take,

Using the remainder theorem,

Let p(x) be any polynomial of degree greater than or equal to one and let a be any real number.

If p(x) is divided by the linear polynomial x - a, then the remainder is p(a).

Here,

Substitute the value of a in the above polynomial.

$\begin{gathered} p(6)=6^2+5(6)-24_{} \\ =36+30-24 \\ =42 \end{gathered}$

Hence, the remainder is 42.

Final answer: The remainder is 42.