Factoring Quadratic Expressions 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 and a ≠ 0.

Front

What does it mean to factor a quadratic expression?

Back

Factoring a quadratic expression means 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 x² term in the quadratic expression.

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.

Front

How do you find the factors of a quadratic expression?

Back

To find the factors, look for two numbers that multiply to 'c' and add to 'b' in the expression ax² + bx + c.

Front

Factor the expression: x² - 2x - 24

Back

(x + 4)(x - 6)

Front

Factor the expression: x² + 29x + 100

Back

(x + 4)(x + 25)

Front

Factor the expression: x² - 7x - 18

Back

(x - 9)(x + 2)

Front

Factor the expression: x² + 13x + 30

Back

(x + 3)(x + 10)