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

Work through problems with immediate feedback

Fluency Practice

$p(x) = x^3 + 2x^2 - 5x - 6$ . Is $(x - 2)$ a factor of $p(x)$ ?

Yes, because $p(2) = 0$

No, because $p(2) \neq 0$ ; $p(2) = 0$ is not required for $(x-2)$ to be a factor

Yes, because $p(0) = -6$ and $-6 \neq 2$

Cannot be determined without performing long division