Question

Which of the binomials below is a factor of this trinominal?
X^2-14x+24

X+6
X+4
X-12
X^2+6

Answer 1

What numbers when multiplied together give you 24, but when added together would give you 14x?

Answer 2

10

Answer 3

Correction, when you multiply them together, they give you 24, but when added together would give you -14

Answer 4

Correct it is -14. Thanks

Answer 5

Make a list:

1 * 24 = 24 | 1 + 24 = 25
-1 * -24 = 24 | -1 - 24 = -25
2 * 12 = 24 | 2 + 12 = 14
-2 * -12 = 24 | -2 - 12 = -14 <--
And so on...

So you have x^2 - 12x - 2x + 24, now factor this polynomial by grouping. :D

Answer 6

So ot's c

Answer 7

Well there's an easy trick, you have x^2

So you'll have: (x )(x )

Plug in the terms that you solved, here -12 and -2

(x - 12)(x -2)

Check: x^2 -2x - 12x + 24 = x^2 - 14x + 24 :D so this does work :>

So yes, it's C :P

Answer 8

Thank you :)

Answer 9

You're very welcome :P