What is factor n^2-5n-36 ?

The solution to factor n^2-5n-36 is (n+4)(n-9)

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factor n^2-5n-36

factor

n^{2} - 5 n - 36

(n + 4) (n - 9)

Solution steps

n^{2} - 5 n - 36

Break the expression into groups

= (n^{2} + 4 n) + (- 9 n - 36)

Factor out

n

from

n^{2} + 4 n : n (n + 4)

Factor out

- 9

from

- 9 n - 36 : - 9 (n + 4)

= n (n + 4) - 9 (n + 4)

Factor out common term

n + 4

= (n + 4) (n - 9)

(125)^{\frac{1}{3}}

(3 x^{3}) (3 x^{4}) (- 3 x^{2})

\frac{x}{2} + \frac{x}{7} = - 1

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

\frac{3}{4} x + \frac{5}{4} = 4 x