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

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

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factor r^2-3r-4

factor

r^{2} - 3 r - 4

(r + 1) (r - 4)

Solution steps

r^{2} - 3 r - 4

Break the expression into groups

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

Factor out

r

from

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

Factor out

- 4

from

- 4 r - 4 : - 4 (r + 1)

= r (r + 1) - 4 (r + 1)

Factor out common term

r + 1

= (r + 1) (r - 4)

2 4^{2} + 1 0^{2} = c^{2}

\frac{x}{2} = 5

8 x^{2} + 2 x - 1

x - 7 = 4

\frac{1}{5} (x - 8) > x + 16