What is factor x^2+10x+9 ?

The solution to factor x^2+10x+9 is (x+1)(x+9)

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factor x^2+10x+9

factor

x^{2} + 10 x + 9

(x + 1) (x + 9)

Solution steps

x^{2} + 10 x + 9

Break the expression into groups

= (x^{2} + x) + (9 x + 9)

Factor out

x

from

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

Factor out

9

from

9 x + 9 : 9 (x + 1)

= x (x + 1) + 9 (x + 1)

Factor out common term

x + 1

= (x + 1) (x + 9)

1 - \frac{3 x}{5} > 7

2 x^{2} + 80 = 26 x

- 45 x - 45 = - 75 x + 75

- 23 + 5 (4 - x) \geq - 3 (x + 7)

r^{2} + 10 r + 26 = 0