Understanding Polynomials and Their Degrees

What are the two broad categories of polynomials?

• Polynomials with real coefficients and polynomials with imaginary coefficients

• Polynomials with even degrees and polynomials with odd degrees

• Polynomials with positive coefficients and polynomials with negative coefficients

• Polynomials with one variable and polynomials with more than one variable

Which of the following is an example of a polynomial with one variable?

• 7xz + 10 + 3z cubed y + 19y raised to 4

• None of the above

• 5xy cubed + 17xy + 9y squared + 9

• 6x raised to 5 + 2x squared - 7x + 9

Which polynomial has two variables?

• None of the above

• 5xy cubed + 17xy + 9y squared + 9

• 21x + 6x cubed + 7 + x squared

• 6x raised to 5 + 2x squared - 7x + 9

How is the degree of a polynomial with one variable determined?

• By the number of terms

• By the constant term

• By the largest exponent of the variable

• By the sum of the coefficients

What is the degree of the polynomial 6x raised to 5 + 2x squared - 7x + 9?

• 7

• 5

• 3

• 2

In the polynomial 21x + 6x cubed + 7 + x squared, what is the degree?

• 2

• 1

• 3

• 4

How is the degree of a polynomial with more than one variable determined?

• By the number of variables

• By the largest exponent of any single variable

• By the constant term

• By the sum of the exponents of all variables in each term

What is the degree of the term 5xy cubed?

• 3

• 1

• 4

• 5

In the term 5xy cubed, what is the sum of the exponents?

• 3

• 4

• 2

• 5

What is the degree of the polynomial 5xy cubed + 17xy + 9y squared + 9?

• 2

• 5

• 3

• 4