What is factor m^2-3m-4 ?

The solution to factor m^2-3m-4 is (m+1)(m-4)

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factor m^2-3m-4

factor

m^{2} - 3 m - 4

(m + 1) (m - 4)

Solution steps

m^{2} - 3 m - 4

Break the expression into groups

= (m^{2} + m) + (- 4 m - 4)

Factor out

m

from

m^{2} + m : m (m + 1)

Factor out

- 4

from

- 4 m - 4 : - 4 (m + 1)

= m (m + 1) - 4 (m + 1)

Factor out common term

m + 1

= (m + 1) (m - 4)

x^{2} - 4 x = 4

2 (x + 1) - (x - 1) = 0

(x + 1) (x + 2) (x - 3) = (x - 2) (x + 1) (x + 1)

\frac{( 2 x ^{2} + 7 x + 3 )}{( 2 x ^{2} - 7 x - 4 )}

x^{4} + 2 x^{3} - 7 x^{2} - 20 x - 12