Factor the polynomial 10x2 23x 12 Your answer can be writt
Factor the polynomial 10x^2 + 23x + 12. Your answer can be written as (5x+B)(Cx+D) with B, C, and D integers
where B equals:
and C equals:
and D equals:
Solution
10x^2 + 23x + 12
comparing with ax^2 +bx +c
b cann be expressed as sum of 2 factors of (a*c)
here (a*c)=(10*12)=120
120 =15*8
=>b=15+8
10x^2 + 23x + 12
=10x^2 + 15x +8x + 12
=5x(2x+3)+4(2x+3)
=(5x+4)(2x+3)
comparing with
(5x+B)(Cx+D)
B=4,C=2,D=3
