Factor x square plus 10 - 24?

Answer 1

xx+10-24=xx-14 --> (x+sqrt(14))(x-sqrt(14))

if xx+10x-24

axx+bx+c

a=1

b=10

c=-24

Multiply a and c:

1*-24=-24

Find multiples of ac that add up to b (d,e [ie de=ac, d+e=b]):

24=2*2*2*3

2*-12, -2*12

3*-8, -3*8

4*-6, -4*6

Rewrite axx+bx+c into axx+dx+ex+c:

xx-2x+12x-24

Factor sets of terms (ie axx+dx, and ex+c):

xx-2x+12x-24

x(x-2)+12(x-2)

Combine like terms:

(x-2)(x+12)

Answer 2

X^2 + 10X

X(X + 10)

Best factoring I can see.

Answer 3

-(x+2)(x-5)

=(-x-2)(x-5)

Answer 4

-(x - 9)(x + 2)

Answer 5

(x + 7)(x + 3)

Answer 6

(x - 2)(x + 12)

Answer 7

(x - 3)(x - 7)

Answer 8

(x - 3)*(x - 7)