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If x+2 is a factor of x2+px-10, find p.

April 9, 2026Mathematics

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Answer

\text{B. -3}

3 steps

Here are the solutions to the questions from the image.

The question is blurry, but it appears to be: "If $x+2$ is a factor of $x^2+px-10$ , find $p$ ."

Apply the Factor Theorem.
If $(x+2)$ is a factor of the polynomial $f(x) = x^2+px-10$ , then $f(-2)$ must be equal to 0.
Substitute $x = -2$ into the polynomial.
$(-2)^2 + p(-2) - 10 = 0$ $4 - 2p - 10 = 0$
Solve for $p$ .
$-2p - 6 = 0$ $-2p = 6$ $p = \frac{6}{-2}$ $p = -3$
Comparing this with the given options, $p=-3$ matches option B.

The final answer is $\boxed{\text{B. -3}}$ .

This question asks to simplify surd expressions. There are three parts.

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