Multiplying 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 is the degree of a polynomial?

Back

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

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 the other polynomial.

Front

What is the FOIL method?

Back

The FOIL method is a technique for multiplying two binomials, standing for First, Outside, Inside, Last, which refers to the order in which you multiply the terms.

Front

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

Back

x² + 5x + 6

Front

Multiply: (2x - 1)(x + 2)

Back

2x² + 3x - 2

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms.

Front

What is the product of a binomial and a trinomial?

Back

The product of a binomial and a trinomial is found by multiplying each term in the binomial by each term in the trinomial.

Front

What is the result of multiplying (x + 1)(x² + 2x + 3)?

Back

x³ + 3x² + 5x + 3