Practice for lesson 14 of 18, 9 problems
Practice: Factoring trinomials and using the Factor Theorem
Practice problems with solutions on factoring trinomials: choosing the signs, the AC method when the leading coefficient isn't 1, factoring cubics with synthetic division and quartics in x².
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
How do you factor \(x^2 + x - 12\)?
\(4 + (-3) = 1\) and \(4 \cdot (-3) = -12\).
Practice 9Quick check
To factor \(x^2 - 7x + 12\), which two numbers do you need?
Sum \(-7\) and product \(12\).
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.