7-1, 7-2, 7-3 Polynomial Review

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents. For example, 3x^2 + 2x - 5 is a polynomial.

Front

What are the degrees of polynomials?

Back

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

Front

How do you add polynomials?

Back

To add polynomials, combine like terms. For example, (-3x + 4) + (8x - 5) = 5x - 1.

Front

What is the difference between two polynomials?

Back

The difference is found by subtracting the coefficients of like terms. For example, (3 - 2x + 2x^2) - (4x - 5 + 3x^2) = -x^2 - 6x + 8.

Front

What is a term in a polynomial?

Back

A term is a single mathematical expression that can be a constant, variable, or the product of constants and variables. For example, in 3x^2 + 2x - 5, the terms are 3x^2, 2x, and -5.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of a polynomial. For example, in 5x^3, 5 is the coefficient.

Front

What is a constant term?

Back

A constant term is a term in a polynomial that does not contain any variables. For example, in 3x^2 + 4, the constant term is 4.

Front

How do you simplify a polynomial?

Back

To simplify a polynomial, combine like terms and eliminate any unnecessary parentheses. For example, simplifying (e - 7)^2 results in e^2 - 14e + 49.

Front

What is the perimeter of a rectangle in terms of variables?

Back

The perimeter P of a rectangle with length l and width w is given by P = 2l + 2w. In polynomial terms, if l = x^2 + 8x - 5 and w = 4, then P = 2(x^2 + 8x - 5) + 2(4).

Front

What is a binomial?

Back

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