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 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, allowing you to multiply a single term by each term in a sum.

Front

What is the result of (x - 3)(x^2 + 2x + 7)?

Back

x^3 - x^2 + x - 21

Front

What is the result of (x + 3)(x + 7)?

Back

x^2 + 10x + 21

Front

What is the result of (3x - 6)(7x + 7)?

Back

21x^2 - 21x - 42

Front

What is the result of -5x^6(3x^2 - 12x + 30)?

Back

-15x^8 + 60x^7 - 150x^6

Front

How do you simplify the expression -3x^2(7x^2 - x + 4)?

Back

-21x^4 + 3x^3 - 12x^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.