Finding Zeros of Quadratics

Front

What is a zero of a quadratic function?

Back

A zero of a quadratic function is a value of x that makes the function equal to zero.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants.

Front

How do you find the zeros of the quadratic equation x² + 5x - 14?

Back

You can find the zeros by factoring, completing the square, or using the quadratic formula.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).

Front

What are the roots of the equation x² - 49 = 0?

Back

The roots are x = -7 and x = 7.

Front

How do you solve x² - 9 = 0?

Back

Factor the equation as (x - 3)(x + 3) = 0, giving roots x = -3 and x = 3.

Front

What does it mean if a quadratic has no real zeros?

Back

It means the graph of the quadratic does not intersect the x-axis.

Front

What are the zeros of the equation x² + 7x + 12 = 0?

Back

The zeros are x = -3 and x = -4.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point on the graph of the quadratic function.

Front

How can you determine the number of zeros a quadratic has?

Back

You can determine the number of zeros by calculating the discriminant (b² - 4ac).