What is factor a^2+5a-24 ?

The solution to factor a^2+5a-24 is (a-3)(a+8)

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factor a^2+5a-24

factor

a^{2} + 5 a - 24

(a - 3) (a + 8)

Solution steps

a^{2} + 5 a - 24

Break the expression into groups

= (a^{2} - 3 a) + (8 a - 24)

Factor out

a

from

a^{2} - 3 a : a (a - 3)

Factor out

8

from

8 a - 24 : 8 (a - 3)

= a (a - 3) + 8 (a - 3)

Factor out common term

a - 3

= (a - 3) (a + 8)

- 3 x + 2 \leq - 4

x^{2} + 8 x - 14 = 0

7 x^{2} + x - 1 < 3

3 x^{2} - 1 x - 10

4 x + 2 > - 10