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 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 distributive property?

Back

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

Front

Multiply: (x + 7)(x - 2)

Back

x² + 5x - 14

Front

What is the result of adding two polynomials?

Back

The result of adding two polynomials is a new polynomial formed by combining like terms.

Front

Find the sum: (2x² + 5x - 7) + (3 - 4x² + 6x)

Back

-2x² + 11x - 4

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and performing any necessary operations.

Front

Simplify: 2x(-2x - 3)

Back

-4x² - 6x

Front

Multiply: (x + 5)(x + 4)

Back

x² + 9x + 20

Front

What is the difference between two polynomials?

Back

The difference between two polynomials is a new polynomial formed by subtracting the second polynomial from the first.