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 in one polynomial with each term in another polynomial.

Front

What is the square of a binomial?

Back

The square of a binomial (a + b)² is equal to a² + 2ab + b².

Front

What is the formula for the product of two binomials?

Back

The product of two binomials (a + b)(c + d) is equal to ac + ad + bc + bd.

Front

How do you expand (a + b)²?

Back

To expand (a + b)², use the formula: (a + b)² = a² + 2ab + b².

Front

What is the result of (5s + 2)²?

Back

The result is 25s² + 20s + 4.

Front

What is the result of (10z - 3)²?

Back

The result is 100z² - 60z + 9.

Front

How do you multiply a binomial by a trinomial?

Back

Use the distributive property: multiply each term in the binomial by each term in the trinomial.

Front

What is the result of (x - 3)(x² + 2x + 7)?

Back

The result is x³ - x² + x - 21.

Front

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

Back

The result is x² - 4x - 5.