What is factor x^3+1-x^2+1 ?

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

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factor x^3+1-x^2+1

factor

x^{3} + 1 - x^{2} + 1

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

Solution steps

x^{3} + 1 - x^{2} + 1

Group like terms

= x^{3} - x^{2} + 1 + 1

Add the numbers:

1 + 1 = 2

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

Use the rational root theorem

a_{0} = 2, a_{n} = 1

The dividers of

a_{0} : 1, 2,

The dividers of

a_{n} : 1

Therefore, check the following rational numbers:

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

- \frac{1}{1}

is a root of the expression, so factor out

x + 1

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

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

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

[cosh (a t) sinh (a t)]

\frac{d ^{2}}{d x ^{2}} ((y) (2))

9 - (x^{2} - 8 + 16)

3 y^{2} (\frac{d y}{d x})

\frac{3}{4} x^{2} + 7 x + 16

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