Which expression is equivalent to m^2-13m-30? (m – 15) (m + 2) (m – 10) (m – 3) (m + 15) ( m – 2) (m + 10) (m + 3)

Answer: First optionStep-by-step explanation: You have the quadratic equation given in the problem: [tex]m^2-13m-30[/tex] 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: [tex](m-15)(m+2)[/tex] If you don't want to apply the method above, you can use the quadratic formula: [tex]x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}[/tex] Where: [tex]a=1\\b=-13\\c=-30[/tex] When you susbstitute values you obtain that: [tex]x=15\\x=-2[/tex] Then you can rewrite the equation as [tex](m-15)(m+2)[/tex]