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Find the value of $f(x)$ for $x = 2 + 2^{2/3} + 2^{1/3}$

If $x = 2 + 2^{2/3} + 2^{1/3}$, then find the value of $f(x)=x^3 - 6x^2 + 6x$. I am unable to get to the answer - end up with more than one term. Please help me solve this!
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Pretty straightforward question, I just had a question for the conclusion. I rearranged, and factored and have the quadratic: $$2x + 1/x < 3$$ (multiply both sides by x and rearrange) $$2x^x - ... 0answers 15 views How to minimize this quadratic function? As described at page 3 of this document, I need to minimize the following quadratic function: E(w,x,y,z) = \sum_i \frac{(w-T_i(x,y,z))^2}{1+|\Delta f(x_i,y_i,z_i)|^2}  where w=f(x,y,z) and ... 0answers 14 views Quadratics and function question A quadratic function is given by {h(x) = ax^2 + bx + c} where {a}, {b}, and {c} are all nonzero real numbers. The function {h(x)} intersects the x-axis at two distinct points and satsifies ... 1answer 20 views What is the minimum possible  non  integral value of a Let a A subscript(m) (m=1,2,3,....p) be the possible integral values of a for which the graphs of  f(x)=ax^2+2bx+b  and g(x)=5x^2-3bx-a meets at some point for all real values of b. 1) What is ... 1answer 48 views Determining quadratic function of this word problem I have this word problem in my homework: ... 2answers 36 views What does each term in the trinomial represent and their relation to each other? [duplicate] I am trying to get a grasp or concept understanding what how trinomials answer questions other than answering questions in an algebra class. I. Looking for the practical application. What does the ... 1answer 55 views Found an example for solving via quadratic formula in a book where I am wondering if this is correct As a refresher, I was skimming through a free Calculus online textbook "MOOCULUS massive open online calculus" (https://mooculus.osu.edu/handouts) and stumbled upon the following example solving a ... 1answer 50 views Finding the rule of a quadratic graph I am trying to find the rule. Insofar: y = a(x-b)^2 + c Turning point is  (1,9)  So  b = 1  and  c = 9  y = a(-4-1)^2 + 9 -16 = a(-4-1)^2 + 9  -25 = a (-4-1)^2  -25 = a (-5)^2 ... 1answer 53 views if f(x) is the polynomial (coeff of leadin term is unity) in 'x' of least degree such that f(1)=5 , f(2)=4, f(3)=3, f(4)=2, f(5)=1, then f(0)=? If f(x) is the polynomial (coefficient of leading term is unity) in 'x' of least degree such that f(1)=5 , f(2)=4, f(3)=3, f(4)=2, f(5)=1 Then f(0)= ? 2answers 941 views coefficients of quadratic function? In a quadratic function: coefficient a controls the speed of increase/decrease from the vertex. coefficient b controls the downward slope as the function crosses the y-axis. I don't really ... 4answers 60 views How to search quadratic function If a graph of the quadratic function f(x)=ax^2+bx+c, where a, b and c are constants. If this function vertex is (13,−169) and the distance between the two intersection points with the ... 3answers 163 views Is it possible to find out x^2 parabola and function from 3 given points? I am programming a ball falling down from a cliff and bouncing back. The physics can be ignored and I want to use a simple y = ax^2 parabola to draw the falling ball. I have given two points, the ... 2answers 129 views Finding the Extrema of a Function (without differetiation)$$ (t^2-t+1)/(t^2+t+1)  prove that the function is upper bounded by 3 and lower bounded by 1/3 without differentiation
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My teacher was explaining quadratics in my class and it was a little bit unclear to me. The problem was Suppose $at^2 + 5t + 4 > 0$, show that $a > 25/16$ . My teacher said that there are ...
If a quadratic is reflected on the y axis, why does $b=0$?
If a quadratic in the form $y=ax^2+bx+c$ is reflected on the $y$ axis, why then must $b=0$, making the equation in the form of $y=ax^2+c$? I can remember the rule, but the reasoning behind it has ...