What is factor a^5+a^3+2a^2+2 ?

The solution to factor a^5+a^3+2a^2+2 is (a^2+1)(a^3+2)

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factor a^5+a^3+2a^2+2

factor

a^{5} + a^{3} + 2 a^{2} + 2

(a^{2} + 1) (a^{3} + 2)

Solution steps

a^{5} + a^{3} + 2 a^{2} + 2

= (a^{5} + a^{3}) + (2 a^{2} + 2)

Factor out

a^{3}

from

a^{5} + a^{3} : a^{3} (a^{2} + 1)

Factor out

2

from

2 a^{2} + 2 : 2 (a^{2} + 1)

= a^{3} (a^{2} + 1) + 2 (a^{2} + 1)

Factor out common term

a^{2} + 1

= (a^{2} + 1) (a^{3} + 2)

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

\frac{p ^{3} + 2 p ^{2} + 3 p}{2 \cdot p}

a^{3} + 343 6^{3}

\frac{1}{a ^{2}} + \frac{1}{b ^{2}} + \frac{1}{c ^{2}}

l (5^{t})

What is factor a^5+a^3+2a^2+2 ?
The solution to factor a^5+a^3+2a^2+2 is (a^2+1)(a^3+2)