Solve by Factoring

Front

What is the process of solving a quadratic equation by factoring?

Back

Factoring involves rewriting the quadratic equation in the form (ax + b)(cx + d) = 0, then setting each factor to zero to find the values of x.

Front

Back

x = 4 and x = 5

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions.

Front

Back

x = 0 and x = -3

Front

What is a difference of squares?

Back

A difference of squares is an expression of the form a^2 - b^2, which can be factored as (a - b)(a + b).

Front

Back

x = 7 and x = -7

Front

What is the standard form of a quadratic equation?

Back

Front

Back

x = -\frac{3}{5} and x = 4

Front

What does it mean for a quadratic equation to have no real solutions?

Back

It means the discriminant (b^2 - 4ac) is less than zero, indicating the parabola does not intersect the x-axis.

Front

Back

x = -3 and x = 0