Math Problem Statement
if f(x)=2x^(3)+Ax^(2)+4x-1;f(2)=1, solve for A
Solution
Given the function , and knowing that , we need to solve for .
First, substitute into the function:
Simplify the expression:
Now, solve for :
Thus, .
Would you like any further details or explanations?
Here are five related questions:
- How would you find the derivative of ?
- What happens to the value of when ?
- How does changing affect the shape of the graph of ?
- What are the critical points of ?
- How would you solve for if given a different point, such as ?
Tip: When solving for constants, always carefully substitute values and simplify before attempting to isolate the variable.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Polynomial Functions
Substitution
Solving Equations
Formulas
Polynomial function formula
Substitution method
Theorems
-
Suitable Grade Level
Grades 10-12
Related Recommendation
Determine the Value of A in the Function f(x) = 2x^3 + Ax^2 + 4x - 3 Given f(2) = 11
Find the Value of A in the Polynomial f(x) = 2x^3 + Ax^2 + 7x - 7 Given f(2) = 7
Determining the Value of a in a Polynomial Function
Solve Polynomial and Algebraic Substitution Problems: Find 'a' and Evaluate F(x) - G(x)
Evaluate the Polynomial f(x) = 2x^4 - 3x^3 - 2x - 4 at x = -1