What is factor q^2-3q-10 ?

The solution to factor q^2-3q-10 is (q+2)(q-5)

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factor q^2-3q-10

factor

q^{2} - 3 q - 10

(q + 2) (q - 5)

Solution steps

q^{2} - 3 q - 10

Break the expression into groups

= (q^{2} + 2 q) + (- 5 q - 10)

Factor out

q

from

q^{2} + 2 q : q (q + 2)

Factor out

- 5

from

- 5 q - 10 : - 5 (q + 2)

= q (q + 2) - 5 (q + 2)

Factor out common term

q + 2

= (q + 2) (q - 5)

\frac{x - 3}{x - 2} \leq 0

3 x^{4} - 10 x^{3} - 9 x^{2} + 40 x - 12

(\frac{1}{6})^{- 1}

\frac{1}{6} < \frac{( 2 x - 17 )}{12} \leq \frac{2}{3}

2 (x - 250) - 4 (3 x - 40) = 5