Understanding Polynomial Degrees and Terms

This video tutorial introduces key vocabulary related to polynomials, including terms, coefficients, and the concept of arranging polynomials in descending order. It explains how to identify the leading coefficient and the degree of a polynomial. The tutorial also covers classification of polynomials based on their degree, such as constant, linear, quadratic, cubic, and quartic. The video concludes with an invitation to explore more learning resources.

What is a polynomial made up of?

• Numbers only

• Terms connected by plus or minus

• Letters only

• Symbols only

How are terms in a polynomial connected?

• By exponents

• By multiplication

• By division

• By addition or subtraction

What is the coefficient in a polynomial term?

• The constant term

• The variable part

• The exponent

• The number in front of the variable

What does it mean to write a polynomial in descending order?

• Arranging terms by decreasing power

• Arranging terms by coefficient size

• Arranging terms by increasing power

• Arranging terms alphabetically

What is the leading coefficient of a polynomial?

• The coefficient of the term with the lowest power

• The coefficient of the term with the highest power

• The smallest coefficient in the polynomial

• The largest coefficient in the polynomial

How is the degree of a polynomial determined?

• By the sum of all coefficients

• By the highest power of the variable

• By the number of terms

• By the number of variables

What is a polynomial with a degree of 0 called?

• Linear

• Quadratic

• Cubic

• Constant

What is a polynomial with a degree of 1 called?

• Quartic

• Quadratic

• Cubic

• Linear

What is a polynomial with a degree of 2 called?

• Cubic

• Quartic

• Linear

• Quadratic

What is a polynomial with a degree of 3 called?

• Quartic

• Cubic

• Linear

• Quadratic