Question

3.2 independent practice & hw
1 classify each polynomial by degrees and number of terms. if the expression is not a polynomial, explain why.
a. $f(x) = 6x^4$ b. $g(x) = 3x^2 - 9x^4 + 8$
c. $h(x) = 6x^2 + \frac{5}{x} + 11$ d. $k(x) = 7x - 3x^2 + x^5 - 2$
e. $j(x) = 11x - \sqrt{4x} + 8x^{-2}$ f. $y = 8x^2 + 5x - 3$
g. $f(x) = 7x - 9$ h. $g(x) = 3^x - 8$
i. $f(x) = -10x^6 + 6x^5 - 12x^4 + x^3 - 2x^2 + x - 15$ j. $f(x) = 2x^{10}$

1. determine the degree of each polynomial function represented in the tables below.

$x_1$	$f(x_1)$		$x_1$	$g(x_1)$
---	---		---	---
-3	-21		-3	56
-2	-4		-2	6
-1	1		-1	0
0	0		0	2
1	-1		1	0
2	4		2	6
3	21		3	56
4	56		4	210
			5	552

consider $k(x) = 3(x - 1)(x + 8)(8x - 5)(6x + 21)$.

Explanation:

Answer:

a. Degree \(3\), monomial
b. Degree \(4\), trinomial
c. Not a polynomial (negative exponent in \(\frac{1}{x}=x^{-1}\))
d. Degree \(5\), polynomial with \(4\) terms
e. Not a polynomial (negative exponent in \(8x^{-2}\) and \(\sqrt{4x}=2x^{\frac{1}{2}}\))
f. Degree \(2\), trinomial
g. Degree \(1\), binomial
h. Not a polynomial (variable in exponent \(3^{x}\))
i. Degree \(6\), polynomial with \(7\) terms
j. Degree \(10\), monomial