(2x - 3)(3x + 2)
-x^6(64x^3 - 27)
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.
3X2 - 123(X2 - 4)=========All the factoring that can be done here.
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)
x4+6x3-2x-12 (x3-2)(x+6)
(2x - 3)(3x + 2)
2x + 10x - 6 = 12x - 6
(x - 2)(2x + 3)
2x(x−6)(x+1)
6 - x + 7 - 3x - 5 = -2x - 10 ∴ x + 3x - 2x = 6 + 7 - 5 + 10 ∴ 2x = 18 ∴ x = 9
-122 - 6 = -128
6 - 3x = 4 - 2x 6 = x + 4 x = 2 Check it. 6 - 6 = 4 - 4 It checks.
(2x - 3)(x + 2)
(2x - 3)(x + 2)
-4x-1-3x-4+5 = -7x-1-2x+1+6 -7x = -9x+6 2x = 6 x = 3
Yes. 6 - y = 2x -y = 2x -6 y= -2x +6 If plotted on a graph, the line will have a gradient -2, and will intercept the axes at (0,6) and (3,0).