Factoring Quadratic Expressions and Roots

Front

Convert x² + 6x + 9 to factored form and identify the solution.

Back

(x + 3)(x + 3); x = -3

Front

What is another word for zeros?

Back

roots

Front

How many zeros does this parabola have?

Back

2

Front

True or false: The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

Back

True

Front

Factor: x² - 10x - 24

Back

(x - 12)(x + 2)

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

What does the vertex of a parabola represent?

Back

The highest or lowest point of the parabola.

Front

How do you find the axis of symmetry for a quadratic equation?

Back

x = -b/(2a) where a and b are coefficients from ax² + bx + c.

Front

What is the discriminant in a quadratic equation?

Back

The value of b² - 4ac, which determines the number of real roots.

Front

If the discriminant is positive, how many real roots does the quadratic have?

Back

2 real roots.