Homework Help is Here – Start Your Trial Now!
Math
Algebra
54. Find a polynomial equation of least degree with roots -3, 0, and 3. A²+²+3x-9-0 C. x² +9x=0 B.x²+x²-3x-9-0 1910

54. Find a polynomial equation of least degree with roots -3, 0, and 3. A²+²+3x-9-0 C. x² +9x=0 B.x²+x²-3x-9-0 1910

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
See similar textbooks
icon
Related questions
Question

Please help #54 and explain 

Sol Use the Remainder Theorem to find the remainder when 2x³ +³ + 3x + 7 is divided by a +2. State whether the binomial is a factor of the polynomial .D. -11; yes A. 25; yes B. -11; no C. 33; no 51. Solve ³-10x1576 by completing the square. A. 45,-35 50₁ À 52. Use synthetic division to divide A.x²-3x+8R-7 C. x² + 3x +8 R9 54. 57 B. 5 16V7 C. -6 16V7 D. 36, -45 53. Find the number of possible negative real zeros for f(x) = x³ + 2x² + x d. A. 3 B. 2 or 0 C. 3 or 1 D. 1" 55. - 2x² + 5x + 1 by -1. B.-x+4R-3 D.-x+4 R5 Find a polynomial equation of least degree with roots -3, 0, and 3. A ²+²+3x-9=0 C. x³ + 9x=0 B.x²+x²-3x-9-0 D. F²19x10 Solve 16x16x³-32x+36x-9=0. * B. 4. 1 B. 1.1 0..1 So. Last the possible rational roots of 2x-x²-8-0. A 21, 22, 23, 2, 3, 4 B. ±1,±2,±3,±4, ±6, ±12,市場 C. 1, 3, 2, D. #1, #2, 28, 42, + Determine the rational roots of 3x³ +7²+x-2=0. A. 2, B. -2, C. 2 D. -2 58 Find the value of k so that the remainder of (+ 5x² - 4x + k) + (z+5) is 0 A. -230 <-20 C. 54 D. 20
Transcribed Image Text:Sol Use the Remainder Theorem to find the remainder when 2x³ +³ + 3x + 7 is divided by a +2. State whether the binomial is a factor of the polynomial .D. -11; yes A. 25; yes B. -11; no C. 33; no 51. Solve ³-10x1576 by completing the square. A. 45,-35 50₁ À 52. Use synthetic division to divide A.x²-3x+8R-7 C. x² + 3x +8 R9 54. 57 B. 5 16V7 C. -6 16V7 D. 36, -45 53. Find the number of possible negative real zeros for f(x) = x³ + 2x² + x d. A. 3 B. 2 or 0 C. 3 or 1 D. 1" 55. - 2x² + 5x + 1 by -1. B.-x+4R-3 D.-x+4 R5 Find a polynomial equation of least degree with roots -3, 0, and 3. A ²+²+3x-9=0 C. x³ + 9x=0 B.x²+x²-3x-9-0 D. F²19x10 Solve 16x16x³-32x+36x-9=0. * B. 4. 1 B. 1.1 0..1 So. Last the possible rational roots of 2x-x²-8-0. A 21, 22, 23, 2, 3, 4 B. ±1,±2,±3,±4, ±6, ±12,市場 C. 1, 3, 2, D. #1, #2, 28, 42, + Determine the rational roots of 3x³ +7²+x-2=0. A. 2, B. -2, C. 2 D. -2 58 Find the value of k so that the remainder of (+ 5x² - 4x + k) + (z+5) is 0 A. -230 <-20 C. 54 D. 20
Expert Solution
Step 1 Concept

We know if a polynomial have three roots then least degree polynomial is cubic.

And also if three roots of cubic polynomial are  A , B and C the equation of polynomial is 

x³ - (A+B+C)x² + (A.B+B.C+C.A)x - A.B.C =0

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS