Factor the polynomial. $$ m^{2}-20 m+100 $$

Question

UpStudy AI · Accepted Answer

The given quadratic polynomial is:

$$ m^{2} - 20m + 100 $$

To factor this, we look for two numbers that multiply to $$ 100 $$ and add up to $$ -20 $$.

The numbers $$ -10 $$ and $$ -10 $$ satisfy these conditions because:

$$
-10 \times -10 = 100 \quad \text{and} \quad -10 + (-10) = -20
$$

Therefore, the polynomial can be factored as:

$$
(m - 10)^2
$$

**Answer:**  
$$(m - 10)^{2}$$
$$(m - 10)^2$$

Factor the polynomial. \[ m^{2}-20 m+100 \]