# Lesson 3−23 - 23−2 Some Attributes of Polynomial Functions a. f(x)=5x−x3+3x5−2f ( x ) = 5 x - x ^ { 3 } + 3 x ^ { 5 } - 2f(x)=5x−x3+3x5−2 b. f(x)=−22x3−8x4−2x+7f ( x ) = - frac { 2 } { 2 } x ^ { 3 } - 8 x ^ { 4 } - 2 x + 7f(x)=−22​x3−8x4−2x+7

Lesson 3−23 - 23−2
Some Attributes of Polynomial Functions
$a.f\left(x\right)=5x-x3+3x5-2f\left(x\right)=5x-{x}^{3}+3{x}^{5}-2f\left(x\right)=5x-x3+3x5-2$
$b.f\left(x\right)=-22x3-8x4-2x+7f\left(x\right)=-\frac{2}{2}{x}^{3}-8{x}^{4}-2x+7f\left(x\right)=-22x3-8x4-2x+7$
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smallq9
Both the expressions are polynomial functions, since, both are expressions with one variable and all the exponents are non-negative integers.
Standard form of the given polynomial functions
$a\right)f\left(x\right)=3{x}^{5}-{x}^{3}+5x-2$
Degree = 5
$b\right)f\left(x\right)=-8{x}^{4}-\left(\frac{2}{3}\right){x}^{3}-2x+7$
Degree = 4