(x + 3)(x + 2)
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(x + 3)(x + 2)
(5x - 6)(5x + 6)
-6 = 3 x -2 13 = 5 x 3 - 2 → 5x² + 13x - 6 = (5x - 2)(x + 3)
(6 - 5x)(6 - 5x)
x2+5x-6 = (x+6)(x-1) when factored
5x squared plus 33x plus 18 = (5x + 3)(x + 6) x = -6, -3/5
To factor the expression x^3 + 5x^2 + 6x, we first look for common factors among the terms, which is x. Factoring out x gives us x(x^2 + 5x + 6). Next, we factor the quadratic expression x^2 + 5x + 6 by finding two numbers that multiply to 6 and add up to 5, which are 2 and 3. Therefore, the factored form of x^3 + 5x^2 + 6x is x(x + 2)(x + 3).
(x + 3)(x + 2)
(5x - 6)(5x + 6)
It's a square factor.25x2-36.5x*5x 6*6Answer: (5x-6)(5x+6)
3x2 + 15x + 6 = 3*(x2 + 5x + 2). There are no further rational factors.
(5x + 2)(x + 3)
-6 = 3 x -2 13 = 5 x 3 - 2 → 5x² + 13x - 6 = (5x - 2)(x + 3)
(6 - 5x)(6 - 5x)
3x3+15x2+18x = 3x(x2+5x+6) = 3x(x+2)(x+3)
6x2 + 5x - 6 is factored out to (2x + 3)(3x - 2).
The discriminant is 121.