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

Factor the expression: x² + 12x + 35

Back

(x + 5)(x + 7)

Front

What is the relationship between the coefficients and the roots of a quadratic equation?

Back

The sum of the roots is equal to -b/a and the product of the roots is equal to c/a.

Front

Factor the expression: r² - 16r + 60

Back

(r - 6)(r - 10)

Front

What is a prime quadratic expression?

Back

A prime quadratic expression cannot be factored into real number factors.

Front

Factor the expression: x² - 9x + 20

Back

(x - 5)(x - 4)

Front

What is the significance of the 'a' value in a quadratic equation?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and affects the width of the parabola.

Front

Factor the expression: k² - 2k - 24

Back

(k + 4)(k - 6)

Front

What is the method to factor a quadratic expression when a = 1?

Back

Look for two numbers that multiply to c and add to b.