Question

Which expression is equivalent to m^2-13m-30?

Answer 1

Answer: First option

Step-by-step explanation:

You have the quadratic equation given in the problem:

$m^2-13m-30$

To find an equivalent expression you cacn factorize. Find two numbers whose sum is -13 and whose product is -30.

These numbers would be -15 and 2.

Therfore, you obtain the following equivalent expression:

$(m-15)(m+2)$

If you don't want to apply the method above, you can use the quadratic formula:

$x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}$

Where:

$a=1\\b=-13\\c=-30$

When you susbstitute values you obtain that:

$x=15\\x=-2$

Then you can rewrite the equation as $(m-15)(m+2)$

Answer 2

Answer:

$(m-15)(m+2)$

Step-by-step explanation:

The given expression is

$m^2-13m-30$

Split the middle term

$m^2-15m+2m-30$

Factor

$m(m-15)+2(m-15)$

Factor further to obtain;

$(m-15)(m+2)$

The correct  answer is A.