Multiplying Polynomials

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 is the degree of a polynomial?

Back

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

Front

How do you multiply two binomials?

Back

To multiply two binomials, use the distributive property (FOIL method): First, Outer, Inner, Last.

Front

What is the area of a rectangle formula?

Back

The area of a rectangle is calculated by multiplying its length by its width.

Front

What is the result of multiplying (x + a)(x - a)?

Back

The result is x² - a², which is the difference of squares.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a parenthesis.

Front

How do you combine like terms in a polynomial?

Back

Combine like terms by adding or subtracting the coefficients of terms that have the same variable raised to the same power.

Front

What is the product of (5x + 2)(x² - 3x + 6)?

Back

The product is 5x³ - 13x² + 24x + 12.

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree and determines the polynomial's end behavior.

Front

What is the result of multiplying (5c - 2)(3c² - 5c + 4)?

Back

The result is 15c³ - 31c² + 30c - 8.