1
5x(c - 2d) - 6(2d - c)
Chapter 13 · Factoring
Chapter challenge
Ten problems drawn from every lesson in the chapter. Get each one right on your first try for a perfect score. A new set is drawn each time.
0first-try
0of 10 done
From Factoring by Grouping, exercise 9
Factor.
From Common Monomial Factors, exercise 16
Factor out the greatest common monomial.
2
6c^6 + 10c^10 - 20c^2
From Trinomials $ax^2 + bx + c$, exercise 34
Factor.
3
21x^4 - x^2 - 2
From Roots of Monomials, exercise 18
Find the principal root.
4
\sqrt{x^{4n}}
From The Difference of Two Squares, exercise 16
Factor completely.
5
a^8 - b^8
From Perfect Square Trinomials, exercise 35
Review: separate into prime factors. Take out any common factor first.
6
30ax - 34bx - 15a + 17b
From Sums and Differences of Cubes, exercise 5
Factor completely.
7
64x^3 - 1
From Trinomials $x^2 + bx + c$, exercise 47
Review: factor completely.
8
4ay^2x^2 - 40ay^2x + 100ay^2
From Perfect Square Trinomials, exercise 11
Factor each perfect square.
9
x^6 - 6x^3 + 9
From Factoring: Putting It All Together, exercise 6
Factor completely. First decide which type each one is.
10
x^2 + 2a^2x^2 + x^2a^4