# Is it possible to factor y=x^2+9x-22 ? If so, what are the factors?

Feb 17, 2016

Yes, it is possible to factor this trinomial

#### Explanation:

When we want to factor trinomials of the form $y = a {x}^{2} + b x + c , a = 1$, we must find two numbers that multiply to c and that add to b.

Two numbers that multiply to -22 and that add to 9 are $+ 11 \mathmr{and} - 2$.

$y = {x}^{2} + 9 x - 22 \to y = \left(x + 11\right) \left(x - 2\right)$

Practice exercises:

1. Find out whether it is possible to factor the following trinomials. If so, factor them.

a) $y = {x}^{2} + 5 x + 4$

b) $y = {x}^{2} + 4 x + 5$

c) $y = {x}^{2} - 4 x - 5$

d) $y = {x}^{2} + 4 x - 5$

e) $y = {x}^{2} + 10 x + 25$

f) $y = {x}^{2} + 10 x - 25$

g) $y = {x}^{2} - 10 x + 25$

Good luck!