Solving Quadratics/ Factoring

Front

What is the factored form of a quadratic equation?

Back

A quadratic equation in factored form is expressed as y = (x - p)(x - q), where p and q are the roots of the equation.

Front

What is the first step in solving the equation x^2 + 6x - 13 = 3?

Back

Make it equal 0 by subtracting 3 on each side.

Front

In factored form, what can you easily identify from the graph of a quadratic function?

Back

x-intercepts.

Front

What is the maximum number of solutions a quadratic equation can have?

Back

2.

Front

Solve by taking square roots: k^2 - 6 = 43.

Back

k = 7, k = -7.

Front

What does the vertex of a parabola represent?

Back

The highest or lowest point of the graph, depending on the direction of the parabola.

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax^2 + bx + c, where a, b, and c are constants.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set the equation equal to zero and solve for x.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is given by b^2 - 4ac and determines the number of real solutions.

Front

What does a positive discriminant indicate?

Back

Two distinct real solutions.