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
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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.

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