x2 + 3x - 18 = x2 + 6x - 3x - 18 = x(x + 6) - 3(x + 6) = (x + 6)(x - 3)
x3 + 2x2 + 3x + 6 = x2(x + 2) + 3(x + 2) = (x + 2)(x2 + 3)
3x3 - 24x2 + 45x = 3x(x2 - 8x + 15) = 3x(x2 - 3x - 5x + 15) = 3x[ x(x - 3) - 5(x - 3) ] = 3x(x - 5)(x - 3)
(x + 3)(x + 4y)
=3x * * * * * The correct answer is: x2 + 7x + 12 = (x + 3)(x + 4).
x3 + x2 - 3x - 3 x(x2 + x - 3) - 3
3 - 3x + x2 - x3 = (1 - x)(x2 + 3)
x2 + 3x - 18 = x2 + 6x - 3x - 18 = x(x + 6) - 3(x + 6) = (x + 6)(x - 3)
x(x + 3) + 3(x + 3) = x2 + 3x + 3x + 9 = x2 + 6x + 9 = (x + 3)(x + 3) = (x + 3)2
x3 + 2x2 + 3x + 6 = x2(x + 2) + 3(x + 2) = (x + 2)(x2 + 3)
3x3 - 24x2 + 45x = 3x(x2 - 8x + 15) = 3x(x2 - 3x - 5x + 15) = 3x[ x(x - 3) - 5(x - 3) ] = 3x(x - 5)(x - 3)
(x + 3)(x + 4y)
=3x * * * * * The correct answer is: x2 + 7x + 12 = (x + 3)(x + 4).
(x2+3x-4) (x-4)
x2 + 3x + 3 = 7Subtract 7 from each side:x2 + 3x - 4 = 0Factor the left side:(x + 4) (x - 1) = 0x = - 4x = +1
x2 + 2x - 15 = x2 - 3x + 5x - 15 = x(x - 3) + 5(x - 3) = (x + 5)(x - 3)
x2 + 3x + 7 = 5 ∴ x2 + 3x + 2 = 0 ∴ (x + 1)(x + 2) = 0 ∴ x ∈ {-2, -1}