1
x^2 - 5x + 6
Chapter 12 · Important Special Products
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.
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From Binomials with a Common Term, exercise 48
Find an exact binomial divisor of each.
From Squares of Polynomials, Cubes of Binomials, exercise 20
Cube each binomial by the formula.
2
(x + 3)^3
From The Square of a Binomial, exercise 17
Square each, using rule I or II.
3
(y^5 - 2)^2
From The Square of a Binomial, exercise 2
Square each, using rule I or II.
4
49^2, using (50 - 1)^2
From The Square of a Binomial, exercise 53
Write each as the product of two binomials.
5
a^2 - 2a + 1
From Squares of Polynomials, Cubes of Binomials, exercise 15
Cube each binomial by the formula.
6
(x + 1)^3
From Sum Times Difference, exercise 61
Multiply, treating a group as one term.
7
[(x + y) + 1][(x + y) - 1]
From Sum Times Difference, exercise 18
Expand by the formula.
8
(a + 5)(a - 5)
From The Square of a Binomial, exercise 20
Square each, using rule I or II.
9
(4a + 3)^2
From Squares of Polynomials, Cubes of Binomials, exercise 10
Square by rule V.
10
(a - b + c - d)^2