因式分解 (x-1)+x^2

解答

因式分解

(x - 1) + x^{2}

(x - \frac{- 1 + 5}{2}) (x - \frac{- 1 - 5}{2})

求解步骤

(x - 1) + x^{2}

去除括号:

(a) = a

= x - 1 + x^{2}

解

x^{2} + x - 1 = 0 : x = \frac{- 1 + 5}{2}, x = \frac{- 1 - 5}{2}

多项式因此可因式分解为

= (x - (\frac{- 1 + 5}{2})) (x - (\frac{- 1 - 5}{2}))

整理后得

= (x - \frac{5 - 1}{2}) (x - \frac{- 1 - 5}{2})

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f a c t or 2 x - x - 1

f a c t or sin (ω^{10} + ω^{23})

f a c t or 3 a x - 3 x y + 2 y^{2} - 2 a y