How do you factor #-x^2-9x+22#?
2 Answers
May 24, 2018
(-x-11)(x-2)
May 24, 2018
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)#
