Factor 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 - 5x + 6?

Back

(x - 2)(x - 3)

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

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

Back

(x + 2)(x + 3)

Front

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

Back

The leading coefficient (a) determines the direction of the parabola: if a > 0, it opens upwards; if a < 0, it opens downwards.

Front

What is the factored form of x² - 9?

Back

(x - 3)(x + 3) (This is a difference of squares.)

Front

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

Back

(x + 2)(x + 2) or (x + 2)²

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

Front

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

Back

(x - 5)(x + 1)