Frequently Asked Questions
Can you factor x^2 + 1?
Not over the real numbers. The discriminant is -4. Over the complex numbers, x^2 + 1 = (x + i)(x - i).
What if a is not 1?
Use the quadratic formula or AC method. For 6x^2 + 5x - 4, the roots are 1/2 and -4/3, so the factorization is (2x - 1)(3x + 4).
Does factoring work for higher-degree polynomials?
Sometimes. Cubics and quartics have closed-form solutions; quintics and above generally do not. Look for rational roots first using the Rational Root Theorem.
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