2.1-2.4 Polynomial Operations -Dabbous

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

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 the polynomial 4x^3 + 2x^2 - x + 7, the degree is 3.

Front

How do you perform polynomial subtraction?

Back

To subtract polynomials, distribute the negative sign across the second polynomial and then combine like terms.

Front

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

Back

The result is -x^2 - 6x + 8.

Front

What is the product of two binomials?

Back

The product of two binomials can be found using the distributive property or the FOIL method (First, Outside, Inside, Last).

Front

Calculate the product of (3x - 6)(7x + 7).

Back

The product is 21x^2 - 21x - 42.

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by the formula P = 2(length + width).

Front

If a rectangle has a length of 3x^2 and a width of 2x + 2, what is its perimeter?

Back

The perimeter is 6x^2 + 4x + 4.

Front

What is the difference between two polynomials?

Back

The difference is found by subtracting the coefficients of like terms from each polynomial.

Front

What is the result of (5n - 8)(5n + 8)?

Back

The result is 25n^2 - 64.