How do you factor the trinomial #8m^2-10m-3#?
1 Answer
Jun 26, 2018
Explanation:
#"factor the quadratic using the a-c method"#
#"the factors of the product "8xx-3=-24#
#"which sum to "-10" are "+2" and "-12#
#"split the middle term using these factors"#
#8m^2+2m-12m-3larrcolor(blue)"factor by grouping"#
#=color(red)(2m)(4m+1)color(red)(-3)(4m+1)#
#"take out the "color(blue)"common factor "(4m+1)#
#=(4m+1)(color(red)(2m-3))#
#8m^2-10m-3=(4m+1)(2m-3)#
