Solve Quadratic Equations

Front

What is a quadratic equation?

Back

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

Front

What is the Zero-Product Property?

Back

The Zero-Product Property states that if the product of two factors is zero, then at least one of the factors must be zero.

Front

Solve using the Zero-Product Property: 7x(x − 6) = 0

Back

x = 0 and x = 6

Front

What are the roots of a quadratic equation?

Back

The roots of a quadratic equation are the values of x that make the equation equal to zero.

Front

How do you factor a quadratic equation?

Back

To factor a quadratic equation, find two numbers that multiply to ac (the product of a and c) and add to b (the coefficient of x).

Front

Factor and solve: z² − 14z + 45 = 0

Back

z = 5 and z = 9

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is written as ax² + bx + c = 0.

Front

What does the graph of a quadratic equation look like?

Back

The graph of a quadratic equation is a parabola, which can open upwards or downwards depending on the sign of a.

Front

How many solutions can a quadratic equation have?

Back

A quadratic equation can have two solutions, one solution, or no solutions.

Front

Identify the values of A, B, and C in the equation: 5x² + x - 18 = -9x + 3x²

Back

A=2, B=10, C=-18