CPM Homework Help : INT3 Problem 8-66

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8-66.

Decide if each of the following functions is a polynomial function. If it is, state the degree. If it is not, explain how you know.

$f\left(x\right) = 3x^{3} – 2x + 5$
Hint (a):
Review the Math Notes boxes in Lessons 1.1.4 and 8.1.1.

$y = 0.25x^{7} – 5x$
Answer (b):
Yes; degree $7$

$y = 3^{x} – x^{2}$
Answer (c):
No; it contains an exponent of $x$ .

$f(x)=x^2-\sqrt{x}+2$
Hint (d):
The exponents must be whole numbers. What is the exponent of a square root?

$Q\left(x\right) = 3\left(x – 4\right)^{2}\left(x + 2\right)$
Hint (e):
If you were to expand and simplify, what would be the highest power of $x$ ?

$y=x^2-3x+5-\frac{2}{x-2}$

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