Finding Zeros of Quadratics

Front

What are the zeros of the quadratic function x² - x - 20?

Back

The zeros are -4 and 5.

Front

What are the zeros of the quadratic function x² + 5x - 14?

Back

The zeros are -7 and 2.

Front

What are the zeros of the quadratic function x² - 2x - 24?

Back

The zeros are -4 and 6.

Front

What are the zeros of the quadratic function x² - 3x - 10?

Back

The zeros are -2 and 5.

Front

What is an x-intercept of the function?

Back

An x-intercept is a point where the function crosses the x-axis, for example, 1.

Front

Define a quadratic function.

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0.

Front

What method can be used to find the zeros of a quadratic function?

Back

The zeros can be found using factoring, completing the square, or the quadratic formula.

Front

What is the quadratic formula?

Back

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

Front

What does the discriminant (b² - 4ac) tell us about the roots of a quadratic equation?

Back

The discriminant indicates the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.