Polynomial Functions: Properties and Factoring


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question 1 of 3

Factor x^2+4x-5.

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Which of the following are polynomials?

I) f(x) = x^4+x

II) f(x) = x^2+x*sin(x)

III) f(x) = x+2*sin(2)

2. Use factoring to find a solution of the following equation: 2x^2+8x = x^2+2x-8. (Remember that if one side of the equation equals zero, and the other side of the equation is a product, then at least one of the parts of the product must equal zero. For example, if 0 = x(3-x), then x must be 0 or (3-x) must be 0.)

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About This Quiz & Worksheet

This quiz will help you practice working with polynomials by requiring you to complete math problems associated with polynomials and factoring.

Quiz & Worksheet Goals

Through this assessment, you will be tested on:

  • Identifying polynomials
  • Factoring or expanding polynomial expressions
  • Using factoring to solve a polynomial equation

Skills Practiced

  • Problem solving - use acquired knowledge to factor, expand, or solve polynomial practice problems
  • Interpreting information - verify that you can read information regarding polynomial functions and interpret it correctly
  • Distinguishing differences - use knowledge from the lesson to distinguish what is a polynomial and what is not

Additional Learning

See the accompanying lesson called, Polynomials Functions: Properties and Factoring to learn more about polynomial functions, including:

  • Definition and examples of polynomial functions
  • Definition and examples of quadratic equations
  • Factoring quadratics