Module 7.1

Front

What are the factors of the polynomial x² - 5x + 6?

Back

(x-3)(x-2)

Front

What are the factors of the polynomial represented by algebra tiles?

Back

(x-1)(x-2)

Front

Subtract: (2a² + 5a + 3) - (a² - 3a - 4)

Back

a² + 8a + 7

Front

What is the result of subtracting (3 - 2x + 2x²) - (4x - 5 + 3x²)?

Back

-x² - 6x + 8

Front

Define a polynomial.

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What is the degree of the polynomial 2x² + 3x + 1?

Back

The degree is 2.

Front

What is the leading coefficient of the polynomial 4x³ - 2x² + x - 5?

Back

The leading coefficient is 4.

Front

Explain the process of factoring a quadratic polynomial.

Back

To factor a quadratic polynomial, find two numbers that multiply to the constant term and add to the linear coefficient.

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a single term, while a polynomial is a sum of two or more terms.

Front

What does it mean to simplify an expression?

Back

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