Factoring Quadratic Equations

Front

What is the standard form for a Quadratic?

Back

ax² + bx + c

Front

What is another word for zeros?

Back

roots

Front

What are the zeros of the equation x² = 0 and x² - 4 = 0?

Back

x = 0 and x = 4

Front

Solve by factoring: x² + 3x - 18 = 0

Back

x = 3 and x = -6

Front

Solve by factoring: x² = 7x + 18

Back

x = 9 and x = -2

Front

What is the vertex of a quadratic equation?

Back

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

Front

What does the discriminant tell us about a quadratic equation?

Back

The discriminant (b² - 4ac) indicates the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.

Front

What is factoring in the context of quadratic equations?

Back

Factoring is rewriting a quadratic equation as a product of its linear factors.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is the vertical line that divides the parabola into two mirror images, given by x = -b/(2a).

Front

How do you find the roots of a quadratic equation?

Back

Set the equation to zero and factor it, or use the quadratic formula.