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 of one polynomial with each term of 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 in a sum.

Front

How do you multiply a binomial by a trinomial?

Back

To multiply a binomial by a trinomial, apply the distributive property by multiplying each term in the binomial by each term in the trinomial and then combine like terms.

Front

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

Back

The result is a² - b², known as the difference of squares.

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 of multiplication.

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.

Front

What are like terms in a polynomial?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined by addition or subtraction.

Front

How do you simplify the expression 2x(-2x - 3)?

Back

Distribute 2x to both terms inside the parentheses: 2x * -2x = -4x² and 2x * -3 = -6x, resulting in -4x² - 6x.

Front

What is the degree of a polynomial?

Back

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