ALG. 2 CH. 6 POLYNOMALS TEST REVIEW
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____1.Zach wrote the formula w(w – 1)(2w + 5) for the volume of a rectangular prism he is designing, with width w, which is always has a positive value greater than 1. Find the product and then classify this polynomial by degree and by number of terms.
a. / ; quintic trinomialb. / ; quartic trinomial
c. / ; cubic trinomial
d. / ; quadratic monomial
____2.Write 6x3 + 30x2 + 36x in factored form.
a. / 6x(x + 2)(x – 3) / c. / 3x(x + 2)(x + 6)b. / 6x(x + 3)(x + 2) / d. / 2x(x + 6)(x + 3)
____3.Find the zeros of and state the multiplicity.
a. / 5, multiplicity –4; 3, multiplicity –3b. / –4, multiplicity 5; –3, multiplicity 3
c. / 5, multiplicity –4; –3, multiplicity 3
d. / –4, multiplicity 5; 3, multiplicity –3
____4.Determine which binomial is a factor of . (USE REMAINDER THEOREM.)
a. / x + 8 / b. / x + 4 / c. / x – 16 / d. / x – 4____5.Classify –3x5 – 2x3 by degree and by number of terms.
a. / quintic binomial / c. / quintic trinomialb. / quartic trinomial / d. / quartic binomial
____6.Determine which binomial is not a factor of .(USE REMAINDER THEOREM.)
a. / 4x + 3 / c. / x + 4b. / x + 3 / d. / x – 5
____7.Miguel is designing shipping boxes that are rectangular prisms. One shape of box with height h in feet, has a volume defined by the function . Graph the function. What is the maximum volume for the domain ? Round to the nearest cubic foot.(Use graphing calculator.)
a. / 30 ft3 / b. / 24 ft3 / c. / 22 ft3 / d. / 6 ft3____8.Use a graphing calculator to find the relative minimum, relative maximum, and zeros of . If necessary, round to the nearest hundredth.
a. / relative minimum: (0.36, –62.24), relative maximum: (–3.69, 37.79),zeros: x = –5, –2, 2
b. / relative minimum: (–62.24, 0.36), relative maximum: (37.79, –3.69),
zeros: x = 5, –2, 2
c. / relative minimum: (0.36, –62.24), relative maximum: (–3.69, 37.79),
zeros: x = 5, –2
d. / relative minimum: (–62.24, 0.36), relative maximum: (37.79, –3.69),
zeros: x = –5, –2
____9.The table shows the number of hybrid cottonwood trees planted in tree farms in Oregon since 1995. Find a cubic function to model the data and use it to estimate the number of cottonwoods planted in 2006.
Years since 1995 / 1 / 3 / 5 / 7 / 9Trees planted (in thousands) / 1.3 / 18.3 / 70.5 / 177.1 / 357.3
a. / ; 630.3 thousand trees
b. / ; 618.1 thousand trees
c. / ; 630.3 thousand trees
d. / ; 618.1 thousand trees
____10.Find the zeros of . Then graph the equation.
a. / –2, 4/ c. / –2, 4, 2
b. / 0, –2, 4
/ d. / 0, 2, –4
Short Answer
11.Write a polynomial function in standard form with zeros at 5, –4, and –3.
12.Divide using synthetic division.
13.Solve
Factor the expression.
14.
15.
16.Write the polynomial in standard form.
17.Use synthetic division to find P(–2) for .
18.Solve for x:
19.Use Long Division to solve the following:
Divide by x + 4.
Solve the equation by using the graphing calculator.
20.
21.Write 5x2(2x2 – 3x3) in standard form. Then classify it by degree and number of
terms.
22.Classify –5x5 + 2x4 + 5x3 by degree and by number of terms.
23.Write the expression (x – 4)(x + 2) as a polynomial in standard form.
ALG. 2 CH. 6 POLYNOMALS TEST REVIEW
Answer Section
MULTIPLE CHOICE
1.ANS:C
2.ANS:B
3.ANS:B
4.ANS:D
5.ANS:A
6.ANS:C
7.ANS:B
8.ANS:A
9.ANS:C
10.ANS:B
SHORT ANSWER
11.ANS:
12.ANS:
, R –38
13.ANS:
,
14.ANS:
15.ANS:
16.ANS:
17.ANS:
26
18.ANS:
3
19.ANS:
, R –100
20.ANS:
no solution
21.ANS:
–15x5 + 10x4; quintic binomial
22.ANS:
quintic trinomial
23.ANS:
x2 – 2x – 8