Question

What is the length and width of a rectangle given by the trinomial r squared - 6r- 55? Use factoring

Answer 1

The length and width are

r-11 and r+5

Explanation:

The given trinomial is

`{r}^(2) - 6r - 55`

To factor, we need to split the middle term to get:

`{r}^(2) - 11r + 5r - 55`

We now factor by grouping to obtain;

`{r}(r- 11) + 5(r - 11)`

We collect common factors again to get:

`(r- 11)(r + 5)`

Therefore the length and width are

r-11 and r+5