Identify and factor with difference of two squares in quadratic and quartic polynomials. Describe identity of difference of two squares. Describe the zeros that represent the resultant factors.
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Find the zeros of the function$${f(x)=x^3-9x}$$.
Solving a Simple Cubic Equation, accessed on Sept. 25, 2017, 2 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
What are all of the linear factors of $${2x^4-162}$$? How would you write this expression in factored form?
How are the roots of a sum of two squares, such as $${x^2+9}$$, different from the roots of a difference of two squares?
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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How do the following problems represent differences of two squares? Factor to show the relationships.
$${4x^4-1}$$
$${x^{10}-36}$$
Factor the following functions and name all of the real and complex zeros.
$${18x^4-32}$$