Factoring Quadratics

Front

What is the first step in solving the equation x² + 6x - 13 = 3?

Back

Make it equal 0 by subtracting 3 on each side.

Front

How do you factor the expression 2c² + 2c - 84?

Back

2(c+7)(c-6)

Front

What is the solution for b² = -35 + 12b after rearranging and factoring?

Back

b = 5 and 7

Front

What are the solutions for the equation x² + 15x + 44 = 0 when solved by factoring?

Back

{-11, -4}

Front

What are the solutions for the equation 3x² - 30 = -9x?

Back

x = 2, -5

Front

What is the definition of a quadratic equation?

Back

A polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does it mean to factor a quadratic expression?

Back

To express it as a product of its linear factors.

Front

What is the greatest common factor (GCF) of 2c² + 2c - 84?

Back

The GCF is 2.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0.

Front

What is the quadratic formula used for?

Back

To find the solutions of a quadratic equation: x = (-b ± √(b² - 4ac)) / (2a).