Question

Polynomials and Polynomial Functions Unit Test lesson 11 unit 5

Answer 1

1. Which equation is most likely represented by the graph above?

(1 point)
Correct answer (1 pt) y = (2x – 1)(2x – 3)(2x + 5)
Unselected answer (0 pts) y = (2x + 1)(2x + 3)(2x – 5)
Unselected answer (0 pts) y = –(2x + 1)(2x + 3)(2x – 5)
Unselected answer (0 pts) y = (2x + 1)(2x + 3)(2x + 5)
1 /1 point
2. Shown below is the graph of .


What are the apparent zeros of the function graphed above?

(1 point)
Unselected answer (0 pts) {–0.7, –2.7}
Unselected answer (0 pts) {–10.2, 10.2}
Unselected answer (1 pt) {–2, 1, 4}
Incorrect Answer (0 pts) {–4, –1, 2}
0 /1 point
3. What is a polynomial function in standard form with zeros 1, 2, –2, and –3? (1 point)
Unselected answer (0 pts) x4 + 2x3 + 7x2 – 8x + 12
Correct answer (1 pt) x4 + 2x3 – 7x2 – 8x + 12
Unselected answer (0 pts) x4 + 2x3 – 7x2 + 8x + 12
Unselected answer (0 pts) x4 + 2x3 + 7x2 + 8x + 12
1 /1 point
Multiple Choice
4. What are the zeroes of the function? What are their multiplicities?
f (x) = 4x3 – 20x2 + 24x (1 point)
Incorrect Answer (0 pts) The numbers –3, –2, and 0 are zeroes of multiplicity 1.
Unselected answer (0 pts) The numbers 3, 2, and 0 are zeroes of multiplicity 2.
Unselected answer (0 pts) The numbers –3, –2, and 0 are zeroes of multiplicity 2.
Unselected answer (1 pt) The numbers 3, 2, and 0 are zeroes of multiplicity 1.
0 /1 point
5. What are the real or imaginary solutions of the polynomial equation?x3 – 64 = 0 (1 point)
Unselected answer (0 pts) 4, –1 + , –1 +
Incorrect Answer (0 pts) 4, 1 + , 1 +
Unselected answer (1 pt) 4, –2 + 2i3, –2 – 2i3
Unselected answer (0 pts) 4, –2 + , 2 +
0 /1 point
6. Which is equivalent to the following expression?


(1 point)
Incorrect Answer (0 pts) 3p2 + 8pq – 3q2
Unselected answer (0 pts) 4p2 + 8pq + q2
Unselected answer (0 pts) 4p4 + 8pq – 3q4
Unselected answer (1 pt) 4p2 + 8pq – 3q2
0 /1 point
7. Which is a factored form of 8x3 + 27?

(1 point)
Unselected answer (0 pts) (2x + 3)(2x + 3)(2x + 3)
Unselected answer (1 pt) (2x + 3)(4x2 – 6x + 9)
Incorrect Answer (0 pts) (2x – 3)(4x2 + 6x + 9)
Unselected answer (0 pts) (2x – 9)(4x2 + 18x +81)
0 /1 point
Multiple Choice
8. Divide –3x3 – 4x2 + 4x +3 by x – 2. (1 point)
Incorrect Answer (0 pts) –3x2 + 2x + 24
Unselected answer (1 pt) –3x2 – 10x – 16, R – 29
Unselected answer (0 pts) –3x2 – 10x – 16
Unselected answer (0 pts) –3x2 + 2x + 24, R 35
0 /1 point
9. Find the roots of the polynomial equation.

x3 – 4x2 + x + 26 (1 point)
Unselected answer (1 pt) 3 + 2i, 3 – 2i, –2
Unselected answer (0 pts) 3 + 2i, 3 – 2i, 2
Unselected answer (0 pts) –3 + 2i, –3 – 2i, 2
Incorrect Answer (0 pts) –3 + 2i, –3 – 2i, –2
0 /1 point
10. Which correctly describes the roots of the following cubic equation?
x3 – 5x2 + 3x + 9 = 0

(1 point)
Unselected answer (0 pts) Three real roots, each with a different value
Unselected answer (0 pts) One real root and two complex roots
Unselected answer (1 pt) Three real roots, two of which are equal in value
Incorrect Answer (0 pts) Two real roots and one complex root
0 /1 point
11. What is the second term of (s + v)5? (1 point)
Unselected answer (0 pts) 25s4
Incorrect Answer (0 pts) 25s4v
Unselected answer (1 pt) 5s4v
Unselected answer (0 pts) 125s4v
0 /1 point
12. One zero of f(x) = x3 – 2x2 – 5x + 6 is 1. What are other zeros of the function? (1 point)
Unselected answer (1 pt) 3 and –2
Incorrect Answer (0 pts) –3 and 2
Unselected answer (0 pts) 1 and 2
Unselected answer (0 pts) 1 and –3
0 /1 point
13. Which of the following quartic functions has x = –2 and x = –3 as its only two real zeros? (1 point)
Unselected answer (0 pts) x4 – 5x3 + 7x2 – 5x + 6
Correct answer (1 pt) x4 + 5x3 + 7x2 + 5x + 6
Unselected answer (0 pts) x4 + 5x3 + 7x2 – 5x – 6
Unselected answer (0 pts) x4 – 5x3 + 7x2 + 5x – 6