How do you factor #-x^2-9x+22#?

2 Answers
May 24, 2018

(-x-11)(x-2)

May 24, 2018

Answer:

#(-x-11)(x-2)#

Explanation:

#"using the a-c method to factor the quadratic"#

#"the factors of - 22 which sum to - 9 are + 2 and - 11"#

#"split the middle term using these factors"#

#-x^2+2x-11x+22larrcolor(blue)"factor by grouping"#

#color(red)(-x)(x-2)color(red)(-11)(x-2)#

#"take out the "color(blue)"common factor "(x-2)#

#=(x-2)(color(red)(-x-11))#

#-x^2-9x+22=(-x-11)(x-2)#