Practice Polynomial Functions in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Functions made by adding terms of the form ax^n (where n is a non-negative integer).
Sums of power terms with whole-number exponents. The building blocks of functions.
Example 1
easyFind the degree and leading coefficient of p(x) = -3x^4 + 7x^2 - x + 5.
Example 2
mediumFind all zeros of p(x) = x^3 - 4x^2 + x + 6.
Example 3
mediumPerform polynomial long division: \frac{2x^3 + 3x^2 - 5x + 1}{x + 2}.
Example 4
hardSketch the end behavior and find all real zeros of f(x) = -2x^3 + 6x^2 + 8x. State the multiplicity of each zero.