Factoring Quadratics when a = 1

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

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 when a = 1 in a quadratic expression?

Back

When a = 1, the quadratic expression simplifies to the form x² + bx + c, making it easier to factor.

Front

How do you factor a quadratic expression of the form x² + bx + c?

Back

To factor x² + bx + c, find two numbers that multiply to c and add to b. These numbers will be used to create the factors (x + m)(x + n).

Front

Factor the expression: k² - 2k - 24

Back

(k + 4)(k - 6)

Front

Factor the expression: x² - 36

Back

(x - 6)(x + 6)

Front

Factor the expression: r² - 16r + 60

Back

(r - 6)(r - 10)

Front

Factor the expression: x² - 16x + 48

Back

(x - 12)(x - 4)

Front

Factor the expression: x² + 11x + 24

Back

(x + 8)(x + 3)

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.