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 combine each term in one polynomial with each term in another polynomial.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you multiply a term by each term inside the parentheses.

Front

Multiply: (x - 5)(x + 1)

Back

x² - 4x - 5

Front

Multiply: (x + 7)(x + 9)

Back

x² + 16x + 63

Front

Multiply: (e - 3)(e² + 2e + 7)

Back

e³ - e² + e - 21

Front

Multiply: (e - 4)(e - 6)

Back

e² - 10e + 24

Front

What is the square of a binomial?

Back

The square of a binomial (a + b)² is equal to a² + 2ab + b².

Front

Find the product: (10z - 3)²

Back

100z² - 60z + 9

Front

What is a coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial, representing how many times the variable is multiplied.