What is factor a^2-4a-21 ?

The solution to factor a^2-4a-21 is (a+3)(a-7)

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factor a^2-4a-21

factor

a^{2} - 4 a - 21

(a + 3) (a - 7)

Solution steps

a^{2} - 4 a - 21

Break the expression into groups

= (a^{2} + 3 a) + (- 7 a - 21)

Factor out

a

from

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

Factor out

- 7

from

- 7 a - 21 : - 7 (a + 3)

= a (a + 3) - 7 (a + 3)

Factor out common term

a + 3

= (a + 3) (a - 7)

\frac{1}{( x + h )} - \frac{1}{x}

z^{2} + 9 z + 14

2 - 0

4 X^{2} - 37 X + 9 = 0

4 x^{2} = - 20