Understanding Polynomials

This video tutorial introduces polynomials, explaining that they are expressions without equal signs, composed of terms separated by addition or subtraction. It covers types of polynomials, including monomials, binomials, and trinomials, and explains coefficients and constants. The tutorial also discusses polynomial degrees, how to determine them, and classifies polynomials by degree, such as linear, quadratic, cubic, and quartic.

What is a polynomial?

• An equation with an equal sign

• An expression with terms added or subtracted

• A single number

• A variable with an exponent

How many terms does a binomial have?

• Three

• Two

• Four

• One

What is the term for a polynomial with three terms?

• Trinomial

• Quadrinomial

• Binomial

• Monomial

What is a coefficient in a polynomial?

• A number in front of a variable

• A number added to a variable

• A variable without a number

• A constant number

Which of the following is a constant?

• 2y

• 5

• x^2

• 3x

How is the degree of a monomial determined?

• By the sum of the exponents

• By the number of variables

• By the coefficient

• By the number of terms

What is the degree of the polynomial 3x^2 + 2x + 1?

• Two

• One

• Zero

• Three

What is a polynomial with a degree of one called?

• Quartic

• Cubic

• Quadratic

• Linear

Which polynomial degree is associated with a U-shaped graph?

• Quadratic

• Cubic

• Quartic

• Linear

What is the shape of a cubic function's graph?

• Circle

• S-shape

• U-shape

• Straight line