Understanding Polynomials

What is a polynomial?

• A polynomial is a statistical measure used to analyze data trends.

• A polynomial is a mathematical expression involving variables raised to non-negative integer powers and combined using addition, subtraction, and multiplication.

• A polynomial is a type of function that only includes negative powers of variables.

• A polynomial is a geometric shape defined by its vertices and edges.

Define a monomial.

• A monomial is a polynomial with multiple variables.

• A monomial is an expression with two terms.

• A monomial is a constant value without any variables.

• A monomial is an expression with one term.

Define a binomial.

• A binomial is a single term polynomial.

• A binomial is a polynomial with two terms.

• A binomial is a polynomial with three terms.

• A binomial is a type of equation with no variables.

Define a trinomial.

• A trinomial is a polynomial with four terms.

• A trinomial is a polynomial with three terms.

• A trinomial is a type of monomial.

• A trinomial is a polynomial with two terms.

Classify the polynomial 2x^2 + 3 by the number of terms.

• quadratic

• binomial

• trinomial

• monomial

Is 5x^2 a polynomial? Why or why not?

• Yes, 5x^2 is a polynomial.

• No, 5x^2 is a polynomial only if it has a constant term.

• Yes, but only if x is a constant.

• No, 5x^2 is not a polynomial because it has a variable exponent.

Identify the leading term in the polynomial 4x^5 - 2x^3 + x.

• -2x^3

• 4x^5

• x

• 4x^4

Classify the polynomial x^2 - 4x + 4 by the number of terms.

• quadratic

• monomial

• binomial

• trinomial

What type of polynomial is 0?

• Cubic polynomial

• Constant polynomial

• Linear polynomial

• Quadratic polynomial

Classify the polynomial 8 by its degree.

• 3

• 0

• 1

• 2