Solving & Factoring Quadratics

Front

What are the zeros of the equation (x+10)(x-2) = 0?

Back

x = -10 and x = 2

Front

Find the zeros of the quadratic equation: b^2 + 3b - 10 = 0.

Back

b = 4/5, b = -3

Front

What are the factors and solutions of the equation x^2 + 2x - 3 = 0?

Back

Factors: (x - 1)(x + 3); Solutions: x = 1, x = -3

Front

Factor the quadratic expression x^2 - 10x - 24.

Back

(x - 12)(x + 2)

Front

Factor the expression 25x^2 - 9.

Back

(5x + 3)(5x - 3)

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

What is the vertex form of a quadratic equation?

Back

The vertex form is y = a(x - h)^2 + k, where (h, k) is the vertex.

Front

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

Back

The axis of symmetry is given by the formula x = -b/(2a).

Front

What is the quadratic formula?

Back

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

Front

What does it mean for a quadratic to be factored completely?

Back

A quadratic is factored completely when it is expressed as a product of linear factors.