Quadratic - Factored form

Front

What are the green dots called?

Back

roots or x-intercepts

Front

What are the solutions to (2x + 5)(5x - 2) = 0?

Back

x = -5/2, 2/5

Front

What are the x-intercepts of (x - 5)(x - 1) = 0?

Back

{ 5, 1 }

Front

How many zeros does this parabola have?

Back

2

Front

Which equation matches the x-intercepts x=5,-7?

Back

(x-5)(x+7)=0

Front

What is the factored form of a quadratic equation?

Back

A quadratic equation in factored form is expressed as y = a(x - r1)(x - r2), where r1 and r2 are the roots.

Front

How do you find the roots 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 does the axis of symmetry represent in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the number of real solutions: positive (2 solutions), zero (1 solution), negative (no real solutions).