The remainder and factor theorems

Evaluate p(a) to find a remainder and test whether (x - a) is a factor.

Standards:A-APR.B.2

Try it: three questions

Real questions from the practice bank. Tap an answer to check it.

Question 1 of 3

When the polynomial p(x) = 2x³ - 5x² + kx - 6 is divided by (x - 2), the remainder is 4. Find the value of k.

Question 2 of 3

A pharmaceutical company manufactures 504 doses of medicine. Quality control tests 5/9 of the doses. Of the tested doses, 3/7 pass inspection. How many doses pass inspection?

Question 3 of 3

A construction company purchases 560 square meters of building materials. They allocate 3/8 of the materials for the foundation work. Of the allocated materials, 5/6 are concrete. How many square meters of concrete are used for the foundation?

How this fits in

The remainder and factor theorems is one skill in the Advanced Algebra unit. Students read the unit lesson, then earn a bronze, silver, or gold medal on their last 10 answers. Medals never go down. A mastered unit comes back for review after 1, 3, 7, 16, and 35 days so it stays learned.

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