How do you factor completely 6x^2+7x+2?
2 Answers
Mar 28, 2018
Explanation:
"for a quadratic in "color(blue)"standard form"
•color(white)(x)ax^2+bx+c color(white)(x);a!=0
6x^2+7x+2larr"is in standard form"
"with "a=6, b=7" and "c=2
color(blue)"to factorise"
rArrac=6xx2=12" and + 4, + 3 sum to + 7"
6x^2+3x+4x+2larrcolor(blue)"split middle term"
=color(red)(3x)(2x+1)color(red)(+2)(2x+1)larrcolor(blue)"factor in groups"
"take out a common factor "(2x+1)
=(2x+1)(color(red)(3x+2))
rArr6x^2+7x+2=(2x+1)(3x+2)
Mar 28, 2018
Explanation:
By sum & product
=
=
=
Hope this helps!