What is factor x^2+30x+200 ?

The solution to factor x^2+30x+200 is (x+10)(x+20)

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factor x^2+30x+200

factor

x^{2} + 30 x + 200

(x + 10) (x + 20)

Solution steps

x^{2} + 30 x + 200

Break the expression into groups

= (x^{2} + 10 x) + (20 x + 200)

Factor out

x

from

x^{2} + 10 x : x (x + 10)

Factor out

20

from

20 x + 200 : 20 (x + 10)

= x (x + 10) + 20 (x + 10)

Factor out common term

x + 10

= (x + 10) (x + 20)

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