What is factor r^2-4r-77 ?

The solution to factor r^2-4r-77 is (r+7)(r-11)

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factor r^2-4r-77

factor

r^{2} - 4 r - 77

(r + 7) (r - 11)

Solution steps

r^{2} - 4 r - 77

Break the expression into groups

= (r^{2} + 7 r) + (- 11 r - 77)

Factor out

r

from

r^{2} + 7 r : r (r + 7)

Factor out

- 11

from

- 11 r - 77 : - 11 (r + 7)

= r (r + 7) - 11 (r + 7)

Factor out common term

r + 7

= (r + 7) (r - 11)

6 x^{2} - 5 x - 25 = 0

lo g_{5} (25) = 5

- 8 - (- 5)

- 2 x + 3 \leq 7

x^{2} + 5 \geq - 3 - 6 x