Classify Polynomials

What is a polynomial?

• A mathematical expression with variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

• A type of equation that only includes variables and constants without any operations.

• A graphical representation of a mathematical function that shows its roots and intercepts.

• A sequence of numbers that follows a specific pattern or rule.

What is the standard form of a polynomial?

• The standard form of a polynomial is when the terms are arranged in ascending order of their degrees.

• The standard form of a polynomial is when the terms are arranged in descending order of their degrees.

• The standard form of a polynomial is when all coefficients are equal to one.

• The standard form of a polynomial is when the polynomial is factored completely.

What is the degree of a polynomial?

• The degree of a polynomial is the highest power of the variable in the expression.

• The degree of a polynomial is the number of terms in the expression.

• The degree of a polynomial is the sum of the coefficients of the terms.

• The degree of a polynomial is always a negative number.

Classify the polynomial: 3x^2 - 8x + 1

• This is a linear binomial.

• This is a cubic polynomial.

• This is a quadratic trinomial.

• This is a constant polynomial.

Classify the polynomial: 4x - 9

• This is a quadratic polynomial.

• This is a cubic polynomial.

• This is a linear polynomial.

• This is a constant polynomial.

Classify the polynomial: 7x^3 - 11x^2 + 8x - 5

• This is a linear polynomial with 4 terms.

• This is a quadratic polynomial with 3 terms.

• This is a cubic polynomial with 4 terms.

• This is a quartic polynomial with 5 terms.

What is the leading coefficient of a polynomial?

• The coefficient of the term with the highest degree in the polynomial.

• The constant term of the polynomial.

• The coefficient of the term with the lowest degree in the polynomial.

• The sum of all coefficients in the polynomial.

What is a trinomial?

• A polynomial with exactly two terms.

• A polynomial with exactly three terms.

• A polynomial with no terms at all.

• A polynomial with four or more terms.

Classify the polynomial: 2x^2 + 3x - 5

• This is a linear binomial.

• This is a cubic polynomial.

• This is a quadratic trinomial.

• This is a constant polynomial.

Classify the polynomial: x^2 + 6

• This is a linear monomial.

• This is a quadratic binomial.

• This is a cubic polynomial.

• This is a constant term.