What is factor 5z^2+11z+2 ?

The solution to factor 5z^2+11z+2 is (5z+1)(z+2)

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factor 5z^2+11z+2

factor

5 z^{2} + 11 z + 2

(5 z + 1) (z + 2)

Solution steps

5 z^{2} + 11 z + 2

Break the expression into groups

= (5 z^{2} + z) + (10 z + 2)

Factor out

z

from

5 z^{2} + z : z (5 z + 1)

Factor out

2

from

10 z + 2 : 2 (5 z + 1)

= z (5 z + 1) + 2 (5 z + 1)

Factor out common term

5 z + 1

= (5 z + 1) (z + 2)

4 x - 2 (x + 1) \leq 0

x^{2} + 5 x + 100 = 0

x^{2} - 4 x = - 2

x^{3} - 8 x^{2} + 7 x - 56

5 y \leq 20