Classifying, Adding, Subtracting, & Multiplying Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, 4x^2 + 3x - 5 is a polynomial.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial. For example, in the polynomial 3x^4 + 2x^2 - 5, the degree is 4.

Front

How do you classify polynomials based on the number of terms?

Back

Polynomials can be classified as: Monomial (1 term), Binomial (2 terms), Trinomial (3 terms), and Polynomial (more than 3 terms).

Front

What is the result of adding the polynomials (2x^2 + 3x) + (4x^2 - 5x)?

Back

The result is 6x^2 - 2x.

Front

What is the result of subtracting the polynomials (5x^3 + 2x) - (3x^3 - x)?

Back

The result is 2x^3 + 3x.

Front

What is the product of the polynomials (x + 2)(x - 3)?

Back

The product is x^2 - x - 6.

Front

How do you find the coefficient of a polynomial?

Back

The coefficient of a polynomial is the numerical factor in front of a term. For example, in 5x^2, the coefficient is 5.

Front

What is the leading coefficient of the polynomial 4x^3 - 2x^2 + 7?

Back

The leading coefficient is 4, which is the coefficient of the term with the highest degree.

Front

What is the result of multiplying the polynomials (3x + 1)(2x - 4)?

Back

The result is 6x^2 - 10x - 4.

Front

What is the result of subtracting (6x^2 + 4) - (2x^2 - 3)?

Back

The result is 4x^2 + 7.