Simple
\(x^2 + 5x + 6 = (x + 2)(x + 3)\)
因数分解計算機
詳細なステップバイステップの解法で二次式を最も簡単な形に因数分解
結果
値を入力して計算をクリックして結果を表示してください。
Theory & Formula
Factoring is the process of breaking down a polynomial into simpler expressions (factors) that multiply together to give the original polynomial.
For quadratic expressions, factoring reveals the roots (zeros) of the polynomial:
- Standard form: ax² + bx + c
- Factored form: a(x - r₁)(x - r₂) where r₁ and r₂ are the roots
- Special cases: Perfect squares, difference of squares
- Not all quadratics factor nicely over integers
\(ax^2 + bx + c = a(x - r_1)(x - r_2)\)
Worked Examples
Difference of Squares
\(x^2 - 9 = (x - 3)(x + 3)\)
Perfect Square
\(x^2 + 6x + 9 = (x + 3)^2\)
Leading Coefficient
\(2x^2 - 8x + 6 = 2(x - 1)(x - 3)\)