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

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

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

factor

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

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

Solution steps

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

Remove parentheses:

(a) = a

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

x + 1

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

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

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

ab c - 2 ab cz - x y + 2 x yz

\frac{x + 4}{x ^{2} + 8 x + 16}

x^{2} 11 x^{24}

e^{I n (x)}

(r)^{3}

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