what are the factors of $m^{2}-12m + 20$?\n$m - 14$ and $m - 6$\n$m - 10$ and $m - 2$\n$m - 9$ and $m…

what are the factors of $m^{2}-12m + 20$?\n$m - 14$ and $m - 6$\n$m - 10$ and $m - 2$\n$m - 9$ and $m - 3$\n$m - 5$ and $m - 4$

what are the factors of $m^{2}-12m + 20$?\n$m - 14$ and $m - 6$\n$m - 10$ and $m - 2$\n$m - 9$ and $m - 3$\n$m - 5$ and $m - 4$

Answer

Answer:

B. $m - 10$ and $m - 2$

Explanation:

Step1: Analyze quadratic form

We have quadratic $m^{2}-12m + 20$. For $ax^{2}+bx + c$ ($a = 1$, $b=-12$, $c = 20$), we need two numbers that multiply to $ac=20$ and add up to $b=-12$.

Step2: Find the two numbers

The pairs of factors of 20 are: $(1,20)$, $(2,10)$, $(4,5)$. The pair $(-2,-10)$ multiplies to 20 and adds up to -12.

Step3: Factor the quadratic

$m^{2}-12m + 20=m^{2}-2m-10m + 20=m(m - 2)-10(m - 2)=(m - 10)(m - 2)$.