MATH 0024 Chapter 13 Practice Test

Factor out the GCF from the polynomial.

1) 80x⁹y⁸ + 56x²y⁶ + 40x⁴y⁴

Factor the trinomial completely . If the polynomial cannot be factored, write "prime."

2) 2y³ - 4y² - 30y

Complete the factored form.

3) 10x² - 19x + 6 = (5x - 2)_______

Factor the polynomial by grouping .

4) 2x⁴ - 5x² + 4x² - 10

Factor the trinomial completely .

5) x² + 16x + 64

Factor the four- term polynomial by grouping.

6) xy + 10x - 5y - 50

Factor out the GCF from the polynomial .

7) 6x - 48

8) 14x⁴y + 10xy³

9) x⁸y⁷ - x⁸y⁶ + x⁶y⁴ - x⁵y⁴

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

10) z² + 6z + 9

11) x² - 11x + 24

12) 5x² + 15x - 50

Factor the trinomial completely.

13) 5x² - x - 22

14) -3x² - 7x + 6 14

15) 12x³ - 36x² + 15x

16) 4x² - 20x + 25

Factor the binomial completely .

17) 9x² - 4

18) 9x² - 64y²

Fill in the blank with one of the words or phrases listed below.

19) A trinomial that is the square of some binomial is called a _____.

Factor the four- term polynomial by grouping .

20) xy + y + 4x + 4

Solve the equation .

21) x² + 5x - 14 = 0 21

22) x² - x = 20

23) 4x² - 28x + 40 = 0

24) 9x² = 16

25) 3x² - 4x - 7 = 0

Solve .
26) One leg of a right triangle is 7 inches longer than the smaller leg, and the
hypotenuse is 8 inches longer than the smaller leg. Find the lengths of the sides
of the triangle.

27) Find the length of the shorter leg of a right triangle if the longer leg is 24 meters
and the hypotenuse is 6 more than twice the shorter leg.

28) The sum of a number and its square is 72. Find the number.

Answer Key
Testname: CH 13 PRACTICE TEST

1) 8x²y⁴(10x⁷y⁴ + 7y² + 5x²)
2) 2y(y + 3)(y - 5)
3) (2x - 3)
4) (x² + 2)(2x² - 5)
5) (x + 8)²
6) (y + 10)(x - 5)
7) 6(x - 8)
8) 2xy(7x³ + 5y²)
9) x⁵y⁴(x³y³ - x³y² + x - 1)
10) (z + 3)2
11) (x - 8)(x - 3)
12) 5(x - 2)(x + 5)
13) (5x - 11)(x + 2)
14) -1(3x - 2)(x + 3)
15) 3x(2x - 1)(2x - 5)
16) (2x - 5)2
17) (3x + 2)(3x - 2)
18) (3x + 8y)(3x - 8y)
19) perfect square trinomial
20) (x + 1)(y + 4)
21) -7, 2
22) -4, 5
23) 2, 5
24)
25)
26) 5 in., 12 in., 13 in.
27) 10 m
28) 8 or -9