What is factor 5x^2+41x+42 ?

The solution to factor 5x^2+41x+42 is (5x+6)(x+7)

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factor 5x^2+41x+42

factor

5 x^{2} + 41 x + 42

(5 x + 6) (x + 7)

Solution steps

5 x^{2} + 41 x + 42

Break the expression into groups

= (5 x^{2} + 6 x) + (35 x + 42)

Factor out

x

from

5 x^{2} + 6 x : x (5 x + 6)

Factor out

7

from

35 x + 42 : 7 (5 x + 6)

= x (5 x + 6) + 7 (5 x + 6)

Factor out common term

5 x + 6

= (5 x + 6) (x + 7)

b x + 4 y + 4 b + x y

x^{2} + 6^{2} = 8^{2}

(x^{\frac{7}{8}}) (x^{\frac{1}{4}})

∣ 3 x - 9 ∣ > 15

- 6 - (- 3)