What is factor q^4+5q^3+8q+40 ?

The solution to factor q^4+5q^3+8q+40 is (q+5)(q+2)(q^2-2q+4)

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factor q^4+5q^3+8q+40

factor

q^{4} + 5 q^{3} + 8 q + 40

(q + 5) (q + 2) (q^{2} - 2 q + 4)

Solution steps

q^{4} + 5 q^{3} + 8 q + 40

= (q^{4} + 5 q^{3}) + (8 q + 40)

Factor out

q^{3}

from

q^{4} + 5 q^{3} : q^{3} (q + 5)

Factor out

8

from

8 q + 40 : 8 (q + 5)

= q^{3} (q + 5) + 8 (q + 5)

Factor out common term

q + 5

= (q + 5) (q^{3} + 8)

Factor

q^{3} + 8 : (q + 2) (q^{2} - 2 q + 2^{2})

= (q + 5) (q + 2) (q^{2} - 2 q + 2^{2})

2^{2} = 4

= (q + 5) (q + 2) (q^{2} - 2 q + 4)

4 x^{2} + 15 x^{3} + 4 x y - 2 x^{3}

- 10 (y - 4) + 3 y = 5

((a + b)^{2})^{2}

x^{2} + 16 x + 63 = 0

\frac{( 2 x ^{3} ) ^{2} ( 3 y ^{4} ) ^{3}}{12 x ^{4} y ^{5}}

What is factor q^4+5q^3+8q+40 ?
The solution to factor q^4+5q^3+8q+40 is (q+5)(q+2)(q^2-2q+4)