Factoring quadratics when a=1

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is 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 factored form of x² + 9x + 8?

Back

(x + 8)(x + 1)

Front

What is the factored form of x² + 5x + 4?

Back

(x + 4)(x + 1)

Front

What is the factored form of x² - 6x + 5?

Back

(x - 5)(x - 1)

Front

What is the factored form of x² + 3x + 2?

Back

(x + 2)(x + 1)

Front

What is the factored form of x² + 12x + 35?

Back

(x + 5)(x + 7)

Front

What are the steps to factor a quadratic expression when a=1?

Back

1. Identify two numbers that multiply to c and add to b. 2. Rewrite the expression as (x + m)(x + n), where m and n are the identified numbers.

Front

What is the significance of the leading coefficient in a quadratic expression?

Back

The leading coefficient (a) determines the direction of the parabola (upward if a > 0, downward if a < 0).

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as (x + 1) or (x - 5).