Multiply 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 in a sum.

Front

What is the result of (a + b)(c + d)?

Back

The result is ac + ad + bc + bd, which is obtained by multiplying each term in the first polynomial by each term in the second.

Front

What is the formula for the square of a binomial (a + b)²?

Back

The formula is (a + b)² = a² + 2ab + b².

Front

What is the formula for the difference of squares?

Back

The formula is a² - b² = (a + b)(a - b).

Front

How do you multiply a monomial by a polynomial?

Back

Multiply the monomial by each term in the polynomial, distributing the monomial across all terms.

Front

What is the result of multiplying (2x)(3x + 4)?

Back

The result is 6x² + 8x.

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 a coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial.