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 7x^3 - 8x^2 + 9, the degree is 3.

Front

What is a cubic trinomial?

Back

A cubic trinomial is a polynomial of degree three that has three terms, such as 7x^3 - 8x^2 + 9.

Front

How do you find the perimeter of a rectangle given its dimensions?

Back

The perimeter of a rectangle is calculated by the formula P = 2(length + width). In the context of polynomials, substitute the polynomial expressions for length and width.

Front

What is the distributive property in polynomial multiplication?

Back

The distributive property states that a(b + c) = ab + ac. This property is used to multiply polynomials.

Front

What is the result of multiplying (3x - 6)(7x + 7)?

Back

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

Front

What is the result of multiplying (4x + 1)(5x - 2)?

Back

The result is 20x^2 - 3x - 2.

Front

What is the process of combining like terms in polynomials?

Back

Combining like terms involves adding or subtracting coefficients of terms that have the same variable and exponent.

Front

What is the result of multiplying (b + 3)(b^2 + 2b + 1)?

Back

The result is b^3 + 5b^2 + 7b + 3.

Front

What is a binomial?

Back

A binomial is a polynomial that consists of exactly two terms, such as (b + 3) or (4x - 2).