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Is g(c)= -2c³- c⁴+⅓ a polynomial function? If it is, classify it according to its degree.

Is g(c)= -2c³- c⁴+⅓ a polynomial function? If it is, classify it according to its degree.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 66E
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Is g(c)= -2c³- c⁴+⅓ a polynomial function? If it is, classify it according to its degree.
A polynomial function Po is a function defined by a polynomial in one variable. It is of the form Pog - a,x" +a-1-+a -2 *+ax+ ao, where an, an-1,an-2,, a1, ag are roal numbers, The following are more examples of polynomial functions. P0) = -4x - 2x + 3 1 • y- 5x - 3x +2 Polynomial functions are classified according to their degree. Constant functions, P(x) - ae. where a,0, has degree 0. Linear function, P(x) - a;x+ ag, where a 0, has degree 1. Quadratic function, P(x)-ax+ a, x+ ag, has degree 2. This also be written using different variables such as a, b, and e, so that P(x) - ax? + bx +C, where a 0, Cubic furiction, P() - ax + bx? + cx + d, where a 0, has degree 3. Quartic tunction, a polynomial of degree 4, Polynomial with a higher degree are named after their degree. For example, fx) + 5x-2x5 is called a funi Shot on Y11 Vivo Al camera
Transcribed Image Text:A polynomial function Po is a function defined by a polynomial in one variable. It is of the form Pog - a,x" +a-1-+a -2 *+ax+ ao, where an, an-1,an-2,, a1, ag are roal numbers, The following are more examples of polynomial functions. P0) = -4x - 2x + 3 1 • y- 5x - 3x +2 Polynomial functions are classified according to their degree. Constant functions, P(x) - ae. where a,0, has degree 0. Linear function, P(x) - a;x+ ag, where a 0, has degree 1. Quadratic function, P(x)-ax+ a, x+ ag, has degree 2. This also be written using different variables such as a, b, and e, so that P(x) - ax? + bx +C, where a 0, Cubic furiction, P() - ax + bx? + cx + d, where a 0, has degree 3. Quartic tunction, a polynomial of degree 4, Polynomial with a higher degree are named after their degree. For example, fx) + 5x-2x5 is called a funi Shot on Y11 Vivo Al camera
View Play Navigate Favorites Help Zeros of Polynomial Functions The zeros of the function P(x) are the values of x for which P(x)-0. The zeros of a polynomial function have the same values as the roots or solutions of a polynomial equation and the x- intercepts of the graph of the polynomial function. Playing OT ON OPPO Shot on Y11 Vivo Al camera
Transcribed Image Text:View Play Navigate Favorites Help Zeros of Polynomial Functions The zeros of the function P(x) are the values of x for which P(x)-0. The zeros of a polynomial function have the same values as the roots or solutions of a polynomial equation and the x- intercepts of the graph of the polynomial function. Playing OT ON OPPO Shot on Y11 Vivo Al camera
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