# How do you factor r^2-4r+3?

Jun 6, 2018

${r}^{2} - 4 r + 3 = \left(r - 1\right) \cdot \left(r - 3\right)$

#### Explanation:

show below:

${r}^{2} - 4 r + 3$

$\left(r - 1\right) \cdot \left(r - 3\right)$

Jun 6, 2018

$\left(r - 1\right) \left(r - 3\right)$

#### Explanation:

$\text{the factors of + 3 which sum to - 4 are - 1 and - 3}$

${r}^{2} - 4 r + 3 = \left(r - 1\right) \left(r - 3\right)$

Jun 6, 2018

r^2-4r+3=color(blue)((r-1)(r-3)

#### Explanation:

Factor:

${r}^{2} - 4 r + 3$

Find two numbers that when added equal $- 4$ and when multiplied equal $3$. The numbers $- 1$ and $- 3$ meet the requirements.

Rewrite the equation as two binomials.

${r}^{2} - 4 r + 3 = \left(r - 1\right) \left(r - 3\right)$