What is factor 3x^2+25x+42 ?

The solution to factor 3x^2+25x+42 is (3x+7)(x+6)

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factor 3x^2+25x+42

factor

3 x^{2} + 25 x + 42

(3 x + 7) (x + 6)

Solution steps

3 x^{2} + 25 x + 42

Break the expression into groups

= (3 x^{2} + 7 x) + (18 x + 42)

Factor out

x

from

3 x^{2} + 7 x : x (3 x + 7)

Factor out

6

from

18 x + 42 : 6 (3 x + 7)

= x (3 x + 7) + 6 (3 x + 7)

Factor out common term

3 x + 7

= (3 x + 7) (x + 6)

2 x \times x^{3}

x^{2} \times x^{\frac{1}{2}}

12 \times \frac{1}{2}

- 6 \times - 12 \times - 5

5 x (2 x + 4) - 3 x