Math
posted by Bobby .
Find the particular equation of the cubic function that contains (2,35), (1,7), (2,9), and (3,25)

sheesh! What a lot of busy work.
Let y = ax^3 + bx^2 + cx + d
8a + 4b  2c + d = 35
a + b + c + d = 7
8a + 4b + 2c + d = 9
27a + 9b + 3c + d = 25
solve by your favorite method. Mine is wolframalpha :)
(a,b,c,d) = (2,5,3,7)
y = 2x^3  5x^2 + 3x + 7
Respond to this Question
Similar Questions

Calculus
A cubic polynomial function f is defined by f(x) = 4x^3 + ax^2 + bx + k? 
Calculus
A cubic polynomial function f is defined by f(x) = 4x^3 + ax^2 + bx + k? 
algebra
would you please help me answer this question? 
Math
Define the function f(x)=2x/1−x^2. Find the number of distinct real solutions of the equation f^(5)(x)=x. Details and assumptions f^(n)(x) denotes the function f applied n times. In particular, f^(5)(x)=f(f(f(f(f(x))))). 
math
The function y_p(t) =ln(4 + 2 t), t > 4/2, is a particular solution to the differential equation y''+8y=g(t). Find g(t). 
business math 2
If the demand equation for a particular commodity is y=285x, where y is the unit price in pesos and x is the quantity in units, find the total revenue function and marginal revenue function. 
Math
Find quadratic regressive equation for the following f' points; (x, f'(x)): (4,74); (3,39); 2,10; 1,6; 0,14; 1,12; 2,0; 3,22; 4,55 It's something really complicated, and I'm later asked to find the original equation, which is … 
Circuits and electronics applications3
We are working on finding the particular solution for the firstorder linear constantcoefficient ordinary differential equation: RCdvP(t)dt+vP(t)=Vicos(ωt) The new idea is to find the particular solution for the related equation … 
Math
Create an equation where the left side is a cubic function and the right side is a cube root function. Make it so that the equation has exactly one solution. Please help me solve thanks 
Algebra 1
A gardener at a nursery is ﬁlling pots with soil to prepare to transplant seedlings into these larger pots. Each new pot needs about 27 cubic inches of soil. The amount of soil s (in cubic inches) it takes to ﬁll p pots is given …