Algebra 2 Accelerated

Algebra 2 Accelerated

Chapter 6 Practice Test

104 Total Points

1.  Find a cubic model for the following function. Then use your model to estimate the value of y when x = 7. Round to two decimal places where necessary. (4 points)

x / 0 / 2 / 4 / 6 / 8 / 10
y / 25 / 21 / 20 / 23 / 19 / 17

y = -.06x3+.98x2-4.93x+28.36 y = 21.29 when x = 7

2.  Write each polynomial in standard form. Then classify it by degree and number of terms. (4 points each)

-x4+3x2
quartic binomial
8x3+2x2
cubic binomial

3x2+16 a3-a2b-ab2+b3
quadratic binomial cubic 4 terms
3.  For each function, determine the zeros. State the multiplicity of any multiple zeros. (4 points each)

0 -5/2 0 mult. 2
8 mult. 2 3 mult. 2 4 mult. 2
4.  A rectangular box is 2x + 3 units long, 2x – 3 units wide, and 3x units high. Express its volume as a polynomial in standard form. (4 points) 12x3 – 27x
5.  Find the relative minimum, relative maximum and zeros of the following function. (4 points)
min = -16.9 max = 5.05 zeros = 2, 6, 8
6.  Write a polynomial function in standard form with the given zeros. (4 points each)

x3 + 2x2 – x – 2 x3 + x2 – 2x
7.  Divide using synthetic division. (3 points each)

x2 – 11x + 37 R -128 6x – 2 R -4
8.  Solve each equation by graphing. Where necessary, round to the nearest hundredth. (3 points each)

x = ±2, ±.71 x = -.5, 0, 1.5
9.  Solve each equation by factoring. You must show work for credit. (4 points each)
x = -3 x =
x = ±1, ±3

x = ½ x = x = ±1 x = ±2i
10.  Find the roots of each polynomial equation. You must show work for credit. (4 points each)

-3, -4, .5 10,
11.  Find a polynomial equation with rational coefficients that has the given numbers as roots. (5 points each)

x3 – 3x2 – 8x + 30 x4 – 2x3 – x2 + 6x - 6
12.  Use Pascal’s Triangle to expand each binomial. (5 points each)

a. x6 + 24x5 + 240x4 + 1280x3 + 3840x2 + 6144x + 4096

b. 16n4 + 64n3 + 96n2 + 64n + 16