2(x + 2)(x - 2)(x2 + 2x + 4)(x2 - 2x + 4)
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(2x - 3)(3x + 2)
-x^6(64x^3 - 27)
3X2 - 123(X2 - 4)=========All the factoring that can be done here.
Do the long division by removing the highest power of x at each stage: _________________2x_+_6 _______--------------------- _2x-1_|_4x²_+_10x_-_4 _________4x²_-___2x _________------------- _________________12x_-_4 _________________12x_-_6 _________________---------- ________________________2 → (4x² + 10x - 4) ÷ (2x - 1) = 2x + 6 remainder 2. Checking: (2x + 6)(2x - 1) + 2 = 4x² -2x + 12x - 6 + 2 = 4x² + 10x - 4 = dividend.
7x2-19x-6 7*6=427x2-2x+21x-6[7xx 2x] [3*7x 2*3]x(7x-2)+3(7x-2)Answer: (7x-2)(x+3)