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

1 Answer
Feb 17, 2016

Yes, it is possible to factor this trinomial

Explanation:

When we want to factor trinomials of the form y = ax^2 + bx + 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 and -2.

y = x^2 + 9x - 22 -> y = (x + 11)(x - 2)

**Practice exercises: **

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

a) y = x^2 + 5x + 4

b) y = x^2 + 4x + 5

c) y = x^2 - 4x - 5

d) y = x^2 + 4x - 5

e) y = x^2 + 10x + 25

f) y = x^2 + 10x - 25

g) y = x^2 - 10x + 25

Good luck!