For 1-3, determine if the statement is true or false. If a statement is true or false, explain why. 1) The function defined by g(x)= -3(x+4)(2x-3)4 touches but does not cross the x-axis at (3/2,0). 2) A third-degree polynomial has two turning points. 3) There is exactly one polynomial with integer coefficients with zeros of 2, 4 and 6.
For 1-3, determine if the statement is true or false. If a statement is true or false, explain why. 1) The function defined by g(x)= -3(x+4)(2x-3)4 touches but does not cross the x-axis at (3/2,0). 2) A third-degree polynomial has two turning points. 3) There is exactly one polynomial with integer coefficients with zeros of 2, 4 and 6.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.5: Zeros Of Polynomial Functions
Problem 80E
Related questions
Question
For 1-3, determine if the statement is true or false. If a statement is true or false, explain why.
1) The function defined by g(x)= -3(x+4)(2x-3)4 touches but does not cross the x-axis at (3/2,0).
2) A third-degree polynomial has two turning points.
3) There is exactly one polynomial with integer coefficients with zeros of 2, 4 and 6.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Recommended textbooks for you
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning