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 is the degree of a polynomial?

Back

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

Front

What is the product of two binomials?

Back

The product of two binomials can be found using the distributive property or the FOIL method (First, Outside, Inside, Last).

Front

What does the FOIL method stand for?

Back

FOIL stands for First, Outside, Inside, Last, which are the pairs of terms to multiply when expanding the product of two binomials.

Front

How do you multiply a binomial by a monomial?

Back

To multiply a binomial by a monomial, distribute the monomial to each term in the binomial.

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 formula for the product of two binomials (x + a)(x + b)?

Back

The formula is x² + (a + b)x + ab.

Front

How do you combine like terms after multiplying polynomials?

Back

Combine like terms by adding or subtracting the coefficients of terms that have the same variable and exponent.

Front

What is the significance of the distributive property in polynomial multiplication?

Back

The distributive property allows you to multiply each term in one polynomial by each term in another polynomial.

Front

What is the product of (3x - 1)(x + 5)?

Back

The product is 3x² + 14x - 5.