Multiplying/Dividing 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 multiply each term in one polynomial by each term in another polynomial.

Front

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

Back

The result is ac + ad + bc + bd.

Front

How do you simplify (x - 3)²?

Back

You expand it to get x² - 6x + 9.

Front

What is the formula for the square of a binomial?

Back

(a + b)² = a² + 2ab + b².

Front

What is the result of dividing 9x² + 6x by 3x?

Back

The result is 3x + 2.

Front

What is the first step in dividing polynomials?

Back

Identify the leading term of the dividend and the divisor.

Front

What does it mean to simplify a polynomial expression?

Back

To simplify a polynomial expression means to combine like terms and reduce it to its simplest form.

Front

What is a like term in polynomials?

Back

Like terms are terms that have the same variable raised to the same power.

Front

What is the result of multiplying (2x - 1)(x + 3)?

Back

The result is 2x² + 5x - 3.