Intro to 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, along with coefficients. For example, 2x^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 4x^3 + 2x^2 + 7, the degree is 3.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term. For example, 5x^2 is a monomial.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms. For example, 3x + 4 is a binomial.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms. For example, x^2 + 2x + 1 is a trinomial.

Front

What is a coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial. For example, in the term 9x^3, 9 is the coefficient.

Front

What is a constant term in a polynomial?

Back

A constant term is a term in a polynomial that does not contain any variables. For example, in the polynomial 2x^2 + 3x + 5, the constant term is 5.

Front

How do you find the highest degree of a polynomial?

Back

To find the highest degree of a polynomial, identify the term with the largest exponent. For example, in 6x^2 + 7x^4 + 3, the highest degree is 4.

Front

What is the sum of two polynomials?

Back

The sum of two polynomials is obtained by adding their corresponding coefficients. For example, (2x^2 + 3x) + (4x^2 + 5) = 6x^2 + 3x + 5.

Front

What is the difference between two polynomials?

Back

The difference between two polynomials is obtained by subtracting their corresponding coefficients. For example, (5x^2 + 3) - (2x^2 + 1) = 3x^2 + 2.