Is it possible to factor y=x^2+9x-22 y=x2+9x−22? If so, what are the factors?

1 Answer
Noah G
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 = 1y=ax2+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+11and−2.

y = x^2 + 9x - 22 -> y = (x + 11)(x - 2)y=x2+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 + 4y=x2+5x+4

b) y = x^2 + 4x + 5y=x2+4x+5

c) y = x^2 - 4x - 5y=x2−4x−5

d) y = x^2 + 4x - 5y=x2+4x−5

e) y = x^2 + 10x + 25y=x2+10x+25

f) y = x^2 + 10x - 25y=x2+10x−25

g) y = x^2 - 10x + 25y=x2−10x+25

Good luck!

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