因数 3x(x+1)+2(x^2-2)

解

因数

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

5 (x - \frac{89 - 3}{10}) (x - \frac{- 3 - 89}{10})

解答ステップ

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

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

= 3 x (x + 1) + 2 (x + 2) (x - 2)

拡張

3 x (x + 1) + 2 (x + 2) (x - 2) : 5 x^{2} + 3 x - 4

= 5 x^{2} + 3 x - 4

因数

5 x^{2} + 3 x - 4 : 5 (x - \frac{- 3 + 89}{10}) (x - \frac{- 3 - 89}{10})

= 5 (x - \frac{89 - 3}{10}) (x - \frac{- 3 - 89}{10})