What is factor x^2+10x+21 ?

The solution to factor x^2+10x+21 is (x+3)(x+7)

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factor x^2+10x+21

factor

x^{2} + 10 x + 21

(x + 3) (x + 7)

Solution steps

x^{2} + 10 x + 21

Break the expression into groups

= (x^{2} + 3 x) + (7 x + 21)

Factor out

x

from

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

Factor out

7

from

7 x + 21 : 7 (x + 3)

= x (x + 3) + 7 (x + 3)

Factor out common term

x + 3

= (x + 3) (x + 7)

\frac{5}{4} = - 4 c + \frac{1}{4}

- \frac{4 d}{7} = 80

π + \frac{π}{6}

- \frac{x}{3} > - \frac{10}{9}

x^{3} > 0