How do you factor the trinomial #12 y^2- 17y +5#?

1 Answer
Mar 7, 2018

Answer:

#(12y-5)(y-1)#

Explanation:

#12y^2-17y+5#

multiply the coeff of #y^2" & the constant"#

#12xx5=60#

find factors of #60" that add to "-17#

#-12,-5#

start by reducing the #y# term with these factors then factorise by grouping.

#12y^2-12y-5y+5#

#(12y^2-12y)-(5y-5)#

#12y(y-1)-5(y-1)#

#(12y-5)(y-1)#