What is factor 4x^2+11x+7 ?

The solution to factor 4x^2+11x+7 is (x+1)(4x+7)

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factor 4x^2+11x+7

factor

4 x^{2} + 11 x + 7

(x + 1) (4 x + 7)

Solution steps

4 x^{2} + 11 x + 7

Break the expression into groups

= (4 x^{2} + 4 x) + (7 x + 7)

Factor out

4 x

from

4 x^{2} + 4 x : 4 x (x + 1)

Factor out

7

from

7 x + 7 : 7 (x + 1)

= 4 x (x + 1) + 7 (x + 1)

Factor out common term

x + 1

= (x + 1) (4 x + 7)

∣ 3 x - 1 ∣ = x + 5

6 x^{2} - 3 x - 12 = 2 x^{2} - 45 x

\frac{5}{4} - \frac{3}{4}

2 x - 2 \leq 6

x^{4} + 6 x - 7