Multiplying and Factoring Quadratic Polynomials

Front

What is a quadratic polynomial?

Back

A polynomial of degree 2, typically in the form ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What does it mean to factor a polynomial?

Back

To express a polynomial as a product of its factors, which are polynomials of lower degrees.

Front

What is the area of a rectangle with length (x - 5) and width (3x + 1)?

Back

3x² - 14x - 5.

Front

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

Back

21x² − 21x − 42.

Front

What is the factored form of x² - 15x + 36?

Back

(x - 12)(x - 3).

Front

What is the formula for the difference of squares?

Back

a² - b² = (a - b)(a + b).

Front

What is the result of (x - 3)(x - 3)?

Back

(x - 3)².

Front

How do you multiply two binomials?

Back

Use the distributive property (FOIL method): First, Outside, Inside, Last.

Front

What is the product of 5xy(6x - y)?

Back

30x²y - 5xy².

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c.