What is factor x^2+3x+7x+21 ?

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

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factor x^2+3x+7x+21

factor

x^{2} + 3 x + 7 x + 21

(x + 3) (x + 7)

Solution steps

x^{2} + 3 x + 7 x + 21

Add similar elements:

3 x + 7 x = 10 x

= 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{3}{8} - (- \frac{5}{12})

- 3 - 35

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

(- \frac{4}{5})^{3}

12 ∣ x ∣ - 1 = 3