What is factor x^2+13x+30 ?

The solution to factor x^2+13x+30 is (x+3)(x+10)

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factor x^2+13x+30

factor

x^{2} + 13 x + 30

(x + 3) (x + 10)

Solution steps

x^{2} + 13 x + 30

Break the expression into groups

= (x^{2} + 3 x) + (10 x + 30)

Factor out

x

from

x^{2} + 3 x : x (x + 3)

Factor out

10

from

10 x + 30 : 10 (x + 3)

= x (x + 3) + 10 (x + 3)

Factor out common term

x + 3

= (x + 3) (x + 10)

5 x^{2} - 7 x + 8 = 0

2 x - 5 = 1

\frac{2}{3} x^{2} + 35 = 87

- 7 (- 1) + 3 (0) > - 1

3 x - 7 \geq 2 - 2 x