Math Problem Statement
Use the Rational Zero Test to list the possible rational zeros of f. Verify that the zeros of f shown on the graph are contained in the list. (Enter your answers as a comma-separated list.) f(x) = 2x4 − 21x3 + 49x2 + 9x − 63
The x y-coordinate plane is given. The curve enters the window in the second quadrant, goes down and right becoming less steep, crosses the x-axis at x = −1, changes direction at the approximate point (−0.1, −63), goes up and right becoming more steep, crosses the y-axis at y = −63, passes through the approximate point (0.9, −27), goes up and right becoming less steep, crosses the x-axis at x = 1.5, changes direction at the approximate point (2.3, 17), goes down and right becoming more steep, crosses the x-axis at x = 3, and exits the window in the fourth quadrant. x =
Solution
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Math Problem Analysis
Mathematical Concepts
Polynomial Functions
Rational Zero Theorem
Graph Analysis
Formulas
Rational Zero Theorem: p/q, where p is a factor of the constant term, and q is a factor of the leading coefficient
Theorems
Rational Zero Theorem
Suitable Grade Level
Grades 10-12
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