Polynomial Functions

 $\ f\left(x\right)\ =\ -3x\ +6x^5\ -\ 8x^2+7$  

Is this a polynomial?

• Yes

• No

 $f\left(x\right)\ =\ 2x+1$  

Is this a polynomial?

• Yes

• No

 $f\left(x\right)=-5x+4x^{\frac{2}{3}}-7x^5$  

Is this a polynomial?

• Yes

• No

 $Is\ this\ a\ polynomial?\ \ g\left(x\right)\ =\ -x^7+\sqrt{22}x\ +\ 8x^5$  

• Yes

• No

 $g\left(x\right)\ =\ 3x^2+5x^3+4x^{-4}\ +17$  

Is this a polynomial?

• Yes

• No

Which polynomial is in standard form?

•  $f\left(x\right)=-5x^4+\frac{1}{3}x+8x^2-9$  

•  $f\left(x\right)=-3x^5+6x^3-8x+12$  

•  $f\left(x\right)=-x+8x^2$  

Which polynomials is in standard form?

• $g\left(x\right)=x+7x^5+8x^2-13x^3$

• $g\left(x\right)=2x^5-4x^4+x^3-x+11x^6$

• $g\left(x\right)=-\frac{5}{4}x^4-x^3+7x^2+8x-1$

 $f\left(x\right)=-3x^4+\frac{2}{3}x+7$  

What are the degree and type of this polynomial?

• 4th degree, quadratic

• 3rd degree, quartic

• 4th degree, quartic

• 4th degree, cubic

 $g\left(x\right)=-x^{ }+2x^2-7x^3+11\$  What are the degree and type of this polynomial?

• 3rd degree, quadratic

• first degree, cubic

• second degree, quadratic

• 3rd degree, cubic

 $g\left(x\right)=2x^5-4x^4+x^3-x-11x^6$  

What are the degree and leading coefficient of this polynomial?

• 5th degree, LC: 2

• 6th degree, LC: -11

• 6th degree, LC: 11

• 2nd degree, LC: 5