It is 6x(2x+5) when factored
x4 - 4x3 - 12x2 -32x + 64 (x - 4)(x + 2)(x + 2)(x - 4)
12x ^2 -32x-12
64
64
4x^2 + 32x + 64 = 4(x^2 + 8x + 16) = 4(x + 4)^2 = 4(x + 4)(x + 4)
-4x2 - 32x + x + 8 = 8x2 - 56x : simplify and group the various terms-32x + 56x + x + 8 = 8x2 + 4x225x + 8 = 12x2 : Now present this as a standard quadratic equation.12x2 - 25x - 8 = 0 : Solving for the roots of a quadratic equation gives :-x = [25 ± √(252 + 4x12x8)] ÷ 2x12 = [25 ± √1009] ÷ 24 = [25 ± 31.765] ÷ 24x = 56.765/24 = 2.365 and x = -6.765/24 = -0.282x = 2.365 and -0.282
4x + 32x + 9 = 36x + 9
The expression (32x - 32x^2) can be factored as (32x(1 - x)). This represents a quadratic function, where the term (32x^2) indicates it opens downwards, and the factor (32) scales the function. The expression can be analyzed further to find its roots or maximum value, but in its current form, it is a simplified polynomial expression.
32x + 8 – 34x
If 32X + 53 = 501, then 32X = 448, and X = 448/32 = 14.
35x + 10
That's pretty easy. Just add the like terms (2x and 32x) and keep the 3. You get 34x plus 3.