What is factor r^2+9r+14 ?

The solution to factor r^2+9r+14 is (r+2)(r+7)

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factor r^2+9r+14

factor

r^{2} + 9 r + 14

(r + 2) (r + 7)

Solution steps

r^{2} + 9 r + 14

Break the expression into groups

= (r^{2} + 2 r) + (7 r + 14)

Factor out

r

from

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

Factor out

7

from

7 r + 14 : 7 (r + 2)

= r (r + 2) + 7 (r + 2)

Factor out common term

r + 2

= (r + 2) (r + 7)

5 x \leq 30

b^{2} - a^{2}

- \frac{4}{5} - \frac{2}{3} (y - 9) \geq \frac{3}{5} (y + 15)

\frac{4}{3} - 2

x^{2} + 11 x + 30 > 0