Question

what are the factors of $m^2 - 12m + 20?LXB0m - 10$ and $m - 2LXB1m - 5$ and $m - 4$

Explanation:

Step1: Identify target values

We need two numbers that multiply to $20$ and add to $-12$.

Step2: Find the pair of numbers

The numbers $-10$ and $-2$ satisfy: $(-10)\times(-2)=20$ and $(-10)+(-2)=-12$.

Step3: Factor the quadratic

Write the quadratic as $(m + a)(m + b)$ where $a=-10$ and $b=-2$.
Expression: $m^2-12m+20=(m-10)(m-2)$

Step4: Verify with options

Match the factored form to the given choices.

Answer:

m - 10 and m - 2