Finding Roots, Zeros, & Solutions

Front

What is another word for zeros?

Back

roots

Front

What is one of the solutions to the equation (2x - 1)² = 49?

Back

-3

Front

Find the zeros for the equation 4x² + 4x + 1 = 0.

Back

x = -½

Front

Find the solutions to the equation x² - 14x - 51 = 0.

Back

x = 17, -3

Front

Find the roots of the quadratic equation.

Back

b = 4/5, b = -3

Front

What is a root of a polynomial?

Back

A value of x that makes the polynomial equal to zero.

Front

How do you find the zeros of a quadratic equation?

Back

Set the equation to zero and solve for x using factoring, completing the square, or the quadratic formula.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What does the discriminant tell you about the roots of a quadratic equation?

Back

If b² - 4ac > 0, there are two real roots; if = 0, one real root; if < 0, no real roots.

Front

What is the vertex of a parabola?

Back

The highest or lowest point of the parabola, found at x = -b/(2a).