Complete the factoring.
5x^2 - 24x - 36 = (x - 6)(___________)
2007-08-06 12:24:29 · 6 answers · asked by It's just me 1 in Science & Mathematics ➔ Mathematics
(5x + 6)
2007-08-06 12:28:49 · answer #1 · answered by supastremph 6 · 0⤊ 0⤋
5x^2 - 24x - 36 = (x - 6)(5x+6)
Since the first term is 5x^2, you know the factors have to be 1x and 5x. You're given -6 as a factor of -36, so the other factor must be +6.
Check the middle term and go.
2007-08-06 12:28:50 · answer #2 · answered by Steve A 7 · 0⤊ 0⤋
Since you have 5x^2 the other set of (_____) needs to have (5x +__) because -6 times a positive number would be a negative number. Thus, the only number that would work to make the - 36 would be -6 x +6. So the factor would be (x-6)(5x+6) = 5x^2 - 24x - 36. This is called unFOILing. FOIL is first, outer, inner, last which refers to the order of factoring the numbers in (_).
2007-08-06 12:33:55 · answer #3 · answered by begreen2day 2 · 0⤊ 0⤋
Geez, they already did half the work for you! The last term is -36, so we should see "...+ 6" in the parentheses. And the first term is 5x^2, so with the "x" already given, we need to put 5x in the parentheses. So this give sus (x-6)(5x+6).
2007-08-06 12:29:11 · answer #4 · answered by Anonymous · 0⤊ 0⤋
5x^2 - 24x - 36 = (x - 6)(5x+6)
2007-08-06 12:28:17 · answer #5 · answered by harry m 6 · 0⤊ 0⤋
(x-6)(5x+6)=0
2007-08-06 12:29:38 · answer #6 · answered by Chris2457 2 · 0⤊ 0⤋