What is factor (a^3+2a)+(-a^2+4) ?

The solution to factor (a^3+2a)+(-a^2+4) is (a+1)(a^2-2a+4)

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factor (a^3+2a)+(-a^2+4)

factor

(a^{3} + 2 a) + (- a^{2} + 4)

(a + 1) (a^{2} - 2 a + 4)

Solution steps

(a^{3} + 2 a) + (- a^{2} + 4)

Remove parentheses:

(a) = a

= a^{3} + 2 a - a^{2} + 4

Use the rational root theorem

a_{0} = 4, a_{n} = 1

The dividers of

a_{0} : 1, 2, 4,

The dividers of

a_{n} : 1

Therefore, check the following rational numbers:

\pm \frac{1 , 2 , 4}{1}

- \frac{1}{1}

is a root of the expression, so factor out

a + 1

= (a + 1) \frac{a ^{3} - a ^{2} + 2 a + 4}{a + 1}

\frac{a ^{3} - a ^{2} + 2 a + 4}{a + 1} = a^{2} - 2 a + 4

= (a + 1) (a^{2} - 2 a + 4)

4 x^{2 + 36 x + 81}

2 x^{2} + 6 i l ik ese x + 2

f (x) = 7 sin (3 x)

(y + 1) 2 - 4 (y + 1)

a^{5 + 32}

What is factor (a^3+2a)+(-a^2+4) ?
The solution to factor (a^3+2a)+(-a^2+4) is (a+1)(a^2-2a+4)