Determine if a binomial is a factor of a polynomial using the remainder theorem.
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Which of the following binomials are factors of the polynomial? Explain your reasoning.
$${x^4+5x^3-x^2-17x+12}$$
$${(x-1) }$$ $${(x+1)}$$ $${(x+3)}$$ $${(x+5)}$$ $${(x+4)}$$ $${(x-2)}$$
What is the value of a in the polynomial shown below if $${x+2}$$ is a factor of that polynomial?
$${3x^4+6x^3+ax^2+3x+9}$$
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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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Is $${x+1}$$ a factor of $${2x^2-3x-5}$$? How do you know? Show your reasoning using long division and by using the value of $$x$$ at the root.
Algebra II > Module 1 > Topic A > Lesson 4 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..