What is factor 3s^2+10s+7 ?

The solution to factor 3s^2+10s+7 is (s+1)(3s+7)

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factor 3s^2+10s+7

factor

3 s^{2} + 10 s + 7

(s + 1) (3 s + 7)

Solution steps

3 s^{2} + 10 s + 7

Break the expression into groups

= (3 s^{2} + 3 s) + (7 s + 7)

Factor out

3 s

from

3 s^{2} + 3 s : 3 s (s + 1)

Factor out

7

from

7 s + 7 : 7 (s + 1)

= 3 s (s + 1) + 7 (s + 1)

Factor out common term

s + 1

= (s + 1) (3 s + 7)

\frac{1}{4} \leq \frac{x + 1}{5} < \frac{5}{2}

- \frac{2}{3} + 3

∣ 4 x + 4 ∣ + 9 < 1

8 x + 9 < 4 x - 3

3 x + 9 + 4 x + x = 8 x + 7