Christi is doing her math homework. To receive full credit, she must answer this question: What key features are necessary-and how are the features used-to create the sketch of a polynomial function? What is Christi's correct answer, so she receives full credit for the question? Explain in complete sentences.

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Mathematics

Charlize Marsh

8 October, 00:28

Christi is doing her math homework. To receive full credit, she must answer this question: What key features are necessary-and how are the features used-to create the sketch of a polynomial function? What is Christi's correct answer, so she receives full credit for the question? Explain in complete sentences.

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Alexus · Answer 1

A polynomial equation has several variables (letters) and coefficients (numbers in it), for example:

3x^3 + 2x^2 + 1 = 0

The significant features of a polynomial equation comprise how it behaves for x0, the large negative and positive values of x, and how many zeroes it has (which is how many times it crosses the x axis (y=0) and where the zeroes are). Since the degree of the polynomial is the largest exponent (which is 3 in the above equation), you'll know that there are up to 3 different zeroes.