# Algebra 2 Unit 4 Flashcards

Graphically, what are the solutions to a quadratic equation?

The points at which the function intersects the x-axis

How many possible solutions are there in a quadratic equation?

2, 1, or 0

When are the two solutions in a quadratic equation?

When the A and C values of the equation have opposite signs

When is there one solution in a quadratic equation?

When the vertex falls on the x-axis

When are there no solutions in a quadratic equation?

When the A and C values of the equation have the same signs

When factoring, what do you always look for first?

The GCF or Greatest Common Factor

What is the GCF of 12k - 18

6

What is the GCF of 9x - 24x

3x

What is the opposite of Factoring?

FOIL

What is the opposite of FOIL?

Factoring

When factoring a quadratic and a>1, what trick should you remember?

To divide by A and apply the reduce and slide method

What is the difference of squares?

a^2 - b^2 = (a - b) (a+ b)

What are the three steps to solve quadratics by factoring?

- Move all terms to one side and set to zero. 2. Factor 3. Set each factor to 0 and solve each

The imaginary letter i is also know as …

The square root of negative one

The square root of negative one is also known as …

The imaginary letter i