Polynomial And Rational Functions Full Test Bank Ch.4 - Test Bank | College Algebra 5e by Young by Cynthia Y. Young. DOCX document preview.
College Algebra, 5e (Young)
Chapter 4 Polynomial and Rational Functions
4.5 Complex Zeros: The Fundamental Theorem of Algebra
1) Find all zeros (real and complex). Factor the polynomial as a product of linear factors.
P(x) = 
+ 20x + 136
Diff: 2 Var: 1
Chapter/Section: Ch 04, Sec 05
Learning Objective: Find the complex zeros of a polynomial function.
2) Find all zeros (real and complex). Factor the polynomial as a product of linear factors.
P(x) = 
- 100
Diff: 2 Var: 1
Chapter/Section: Ch 04, Sec 05
Learning Objective: Find the complex zeros of a polynomial function.
3) Find all zeros (real and complex). Factor the polynomial as a product of linear factors.
P(x) = - 2,704
Diff: 2 Var: 1
Chapter/Section: Ch 04, Sec 05
Learning Objective: Find the complex zeros of a polynomial function.
4) Given a zero of the polynomial, determine all other zeros (real and complex) and write the polynomial in terms of a product of linear factors.
P(x) = + 2
+ - 50x - 650 and x = -1 - 5i is a zero of P(x)
P(x) = [x - (-1 - 5i)][x - (-1 + 5i)](x + 5)(x - 5)
Diff: 3 Var: 1
Chapter/Section: Ch 04, Sec 05
Learning Objective: Factor polynomial functions.; Find the complex zeros of a polynomial function.
5) Given a zero of the polynomial, determine all other zeros (real and complex) and write the polynomial in terms of a product of linear factors.
P(x) = - 9 + 11 + 31x - 70 and x = 2 + i is a zero of P(x)
A) x = 2 - i, -2, 7;
P(x) = [x - (2 + i)][x - (2 - i)](x - 2)(x + 7)
B) x = 2 - i, -2, 7;
P(x) = [x - (2 + i)][x - (2 - i)](x + 2)(x - 7)
C) x = 2 - i, -2, 7;
P(x) = [x - (2 + i)][x - (2 - i)](x - 2)(x - 7)
D) x = 2 - i, -2, 7;
P(x) = [x - (2 + i)][x - (2 - i)](x + 2)(x + 7)
Diff: 3 Var: 1
Chapter/Section: Ch 04, Sec 05
Learning Objective: Use the complex conjugate zeros theorem.
6) Factor the polynomial as a product of linear factors.
P(x) = + 9 + 10 - 78x - 180
Diff: 3 Var: 1
Chapter/Section: Ch 04, Sec 05
Learning Objective: Find the complex zeros of a polynomial function.
7) Factor the polynomial as a product of linear factors.
P(x) = + 9 + 4 - 234x - 680
A) P(x) = [x + (-5 + 3i)][x + (-5 - 3i)](x - 5)(x + 4)
B) P(x) = [x - (-5 + 3i)][x - (-5 - 3i)](x + 5)(x + 4)
C) P(x) = [x - (-5 + 3i)][x - (-5 - 3i)](x - 5)(x - 4)
D) P(x) = [x - (-5 + 3i)][x - (-5 - 3i)](x - 5)(x + 4)
Diff: 3 Var: 1
Chapter/Section: Ch 04, Sec 05
Learning Objective: Find the complex zeros of a polynomial function.
8) Factor the polynomial as a product of linear factors.
P(x) = + 15 + 91x + 205
Diff: 3 Var: 1
Chapter/Section: Ch 04, Sec 05
Learning Objective: Find the complex zeros of a polynomial function.
9) Factor the polynomial as a product of linear factors.
P(x) = - 5 + 17x - 13
A) P(x) = [x + (2 - 3i)][x + (2 + 3i)](x - 1)
B) P(x) = [x - (2 - 3i)][x - (2 + 3i)](x + 1)
C) P(x) = [x - (2 - 3i)][x - (2 + 3i)](x - 1)
D) P(x) = [x - (-2 - 3i)][x + (-2 + 3i)](x + 1)
Diff: 3 Var: 1
Chapter/Section: Ch 04, Sec 05
Learning Objective: Find the complex zeros of a polynomial function.
10) Find a polynomial of minimum degree that has these zeros.
Diff: 3 Var: 1
Chapter/Section: Ch 04, Sec 05
Learning Objective: Find the complex zeros of a polynomial function.
11) Find a polynomial of minimum degree that has these zeros.
Diff: 3 Var: 1
Chapter/Section: Ch 04, Sec 05
Learning Objective: Find the complex zeros of a polynomial function.
12) Find a polynomial of minimum degree that has these zeros.
Diff: 3 Var: 1
Chapter/Section: Ch 04, Sec 05
Learning Objective: Find the complex zeros of a polynomial function.
© (2022) John Wiley & Sons, Inc. All rights reserved. Instructors who are authorized users of this course are permitted to download these materials and use them in connection with the course. Except as permitted herein or by law, no part of these materials should be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise.