Exercises: Apply the Remainder Theorem

Work through each section in order. Show your work where indicated.

Grade 9·22 problems·~35 min·Common Core Math - HS Algebra·standard·hsa-apr-b-2

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Recall / Warm-Up

According to the Factor Theorem, which statement is true about a polynomial $p(x)$ and a number $a$ ?

$(x - a)$ is a factor of $p(x)$ only if $p(a) > 0$

$(x - a)$ is a factor of $p(x)$ if and only if $p(a) = 0$

$(x - a)$ is a factor of $p(x)$ if and only if $p(0) = a$

$(x - a)$ is a factor of $p(x)$ if $p(a) \neq 0$