Quadratic Expression Factoring (when a = 1)

Front

What is a quadratic expression?

Back

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

Front

What does it mean to factor a quadratic expression?

Back

Factoring a quadratic expression involves rewriting it as a product of two binomials.

Front

What is the standard form of a quadratic expression?

Back

The standard form of a quadratic expression is ax² + bx + c.

Front

What is the leading coefficient in a quadratic expression?

Back

The leading coefficient is the coefficient of the term with the highest degree, which is 'a' in ax² + bx + c.

Front

How do you factor a quadratic expression when a = 1?

Back

When a = 1, you look for two numbers that multiply to 'c' and add to 'b'.

Front

Factor: x² + 5x - 24

Back

(x + 8)(x - 3)

Front

Factor: x² + x - 42

Back

(x + 7)(x - 6)

Front

Factor: x² + 29x + 100

Back

(x + 4)(x + 25)

Front

Factor: x² - 5x - 36

Back

(x + 4)(x - 9)

Front

What is the zero-product property?

Back

The zero-product property states that if the product of two factors is zero, then at least one of the factors must be zero.