Question

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

Answer 1

Answer:

The length and width are

r-11 and r+5

Step-by-step 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