Polynomial Operations and Factoring

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 is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which are polynomials of lower degrees.

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a² - b² = (a + b)(a - b).

Front

How do you multiply two binomials?

Back

To multiply two binomials, use the distributive property (FOIL method): First, Outer, Inner, Last.

Front

What is the product of (a + b)(a - b)?

Back

The product is a² - b², which is the difference of squares.

Front

Factor the polynomial: 2x² + 3x - 9

Back

(x + 3)(2x - 3)

Front

Find the product: (5n - 8)(5n + 8)

Back

25n² - 64

Front

Factor the polynomial: x² + 9x - 36

Back

(x + 12)(x - 3)

Front

Find the product: (3r - 4)(7r - 5)

Back

21r² - 43r + 20