Respuesta :
Recall that the degree of the polynomial is the highest power of the variable.
1)
[tex]x^3+5x[/tex][tex]The\text{ power of the variable in the term }x^3=3[/tex][tex]The\text{ power of the variable in the term }5x=1[/tex]3 is the highest number.
The degree of the polynomial is 3.
[tex]x^3\text{ is the first term and 5x is the second term}[/tex]The number of terms =2.
2)
[tex]x^2-2x-1[/tex][tex]The\text{ power of the variable in the term }x^2=2[/tex][tex]The\text{ power of the variable in the term -2x}=1[/tex][tex]The\text{ power of the variable in the term -1}=0[/tex]2 is the highest number.
The degree of the polynomial is 2.
The number of terms =3.
3)
[tex]5x^4[/tex][tex]The\text{ power of the variable in the term }5x^4=4[/tex]The degree of the polynomial = 4.
The number of terms =1.
4)
[tex]6x^5-3x^2+7x+9[/tex][tex]The\text{ power of the variable in the term }6x^5=5[/tex][tex]The\text{ power of the variable in the term }-3x^2=2[/tex][tex]The\text{ power of the variable in the term }7x=1[/tex][tex]The\text{ power of the variable in the term }9=0[/tex]5 is the highest number.
The degree of the polynomial =5.
The number of terms =3.
5)
[tex]-11x-5[/tex][tex]The\text{ power of the variable in the term }-11x=1[/tex][tex]The\text{ power of the variable in the term }-5=0[/tex]one is the highest number
The degree of the polynomial =1.
The number of terms =2.
6).
[tex]4x^2+10[/tex][tex]The\text{ power of the variable in the term 4}x^2=2[/tex][tex]The\text{ power of the variable in the term }10=0[/tex]2 is the highest number.
The degree of the polynomial =2.
The number of terms = 2.