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.