Practice for lesson 11 of 18, 9 problems
Practice: Synthetic division, the Remainder Theorem and the Factor Theorem
Synthetic division practice problems with solutions: missing terms, fractional divisors, the Remainder Theorem, the Factor Theorem, finding k and factoring a cubic completely.
Review the lessonWork each problem out on paper before you open the solution. If your answer is off, compare the steps and find where you went wrong. If a problem stops you cold, go back to the lesson: every set links to it.
Warm-up
Level up
Word problems
Quick check
Practice 8Quick check
What is the remainder of \((x^4 - 1) \div (x + 1)\)?
\(P(-1) = 1 - 1 = 0\).
Practice 9Quick check
To divide by \(x + 6\) with synthetic division, which number goes in the box?
\(x + 6 = x - (-6)\).
All done?
If you got most of them right, you're ready to move on. If not, reread the lesson and try the ones you missed again in a few days.