What is factor 3x^2+29x+40 ?

The solution to factor 3x^2+29x+40 is (3x+5)(x+8)

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factor 3x^2+29x+40

factor

3 x^{2} + 29 x + 40

(3 x + 5) (x + 8)

Solution steps

3 x^{2} + 29 x + 40

Break the expression into groups

= (3 x^{2} + 5 x) + (24 x + 40)

Factor out

x

from

3 x^{2} + 5 x : x (3 x + 5)

Factor out

8

from

24 x + 40 : 8 (3 x + 5)

= x (3 x + 5) + 8 (3 x + 5)

Factor out common term

3 x + 5

= (3 x + 5) (x + 8)

(5 x + 6)^{2}

x^{4} + 5 x^{3} - 7 x^{2} - 29 x + 30

\frac{2 x - 3 x}{2 x + 3 x}

2 \frac{4}{6} \div \frac{1}{6}

\frac{3}{2} + \frac{2}{2}