Polynomial Factoring

Factoring Polynomials


Completely factorize x33x2+4x12.x^3-3x^2+4x-12.

Find the sum of all real solutions of the equation x236=3(x6)2.x^2-36=3(x-6)^2.

Completely factorize x4+15x3+70x2+120x+64.x^4+15x^3+70x^2+120x+64.

If f(x)=x3(3+a)x2+(2+3a)x2af(x)=x^3-(3+a)x^2+(2+3a)x-2a and g(x)=x3+4x2+8x+8g(x)=x^3+4x^2+8x+8 share a common factor, what is the value of a?a?

If the complete factorization of x31x226x24x^3-1x^2-26x-24 gives (x+a)(x+b)(x+c),(x+a)(x+b)(x+c), what is the value of abc?abc?


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