7.3--Multiplying & Dividing Polynomials

Front

What is a polynomial?

Back

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

Front

What does it mean to multiply polynomials?

Back

Multiplying polynomials involves using the distributive property to multiply each term in one polynomial by each term in another polynomial.

Front

What is the result of multiplying (a + b)(c + d)?

Back

The result is ac + ad + bc + bd, which is known as the distributive property.

Front

Simplify: 2(3x + 4)

Back

6x + 8

Front

Multiply: (x + 2)(x + 3)

Back

x^2 + 5x + 6

Front

What is the degree of a polynomial?

Back

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

Front

What is the leading coefficient of the polynomial 4x^3 + 2x^2 - 5?

Back

The leading coefficient is 4, which is the coefficient of the term with the highest degree.

Front

Add the polynomials: (2x + 3) + (4x - 5)

Back

6x - 2

Front

Multiply: (2x - 3)(x + 4)

Back

2x^2 + 5x - 12

Front

What is the difference between monomials, binomials, and trinomials?

Back

Monomials have one term, binomials have two terms, and trinomials have three terms.