L latresa31s Junior Member Joined Sep 4, 2005 Messages 135 Oct 2, 2005 #1 how would I factor this problem completely: 14x^2 - 17x - 6 I have done this so for. (14)(6)=84 then I found the GCF of 84 which was 7and 12 . I am stuck.

how would I factor this problem completely: 14x^2 - 17x - 6 I have done this so for. (14)(6)=84 then I found the GCF of 84 which was 7and 12 . I am stuck.

D Daniel_Feldman Full Member Joined Sep 30, 2005 Messages 252 Oct 2, 2005 #2 Have you learned synthetic division yet? If not, testing dfferent numbers looks like the best way. 14x^2 - 17x - 6 Think of two factors of 14 that multiply to equal 14 14 x 1 7 x 2 Then think of two factors of 6 that multiply to equal 6 6x1 3x2 Looks like it, so... (7x+2)(2x-3) looks like it would work. FOIL it to double check.

Have you learned synthetic division yet? If not, testing dfferent numbers looks like the best way. 14x^2 - 17x - 6 Think of two factors of 14 that multiply to equal 14 14 x 1 7 x 2 Then think of two factors of 6 that multiply to equal 6 6x1 3x2 Looks like it, so... (7x+2)(2x-3) looks like it would work. FOIL it to double check.