Solving Quadratic Equations by Factoring

Front

What type of equations always include an x^2?

Back

Quadratic equations are polynomial equations of degree 2, which always include an x^2 term.

Front

Factor the quadratic equation: x^2 + 12x + 35 = 0

Back

(x + 5)(x + 7)

Front

Is ax^2 + bx + c = 0 the standard form of a quadratic equation?

Back

True

Front

Solve the quadratic equation by factoring: x^2 - 9x + 20 = 0

Back

x = 4 or x = 5

Front

Put this equation into standard form: 2x^2 + x + 3 = x^2

Back

x^2 + x + 3 = 0

Front

What is the quadratic formula used to solve ax^2 + bx + c = 0?

Back

x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}

Front

What are the roots of a quadratic equation?

Back

The roots are the values of x that make the equation equal to zero.

Front

What does it mean for a quadratic equation to be factorable?

Back

A quadratic equation is factorable if it can be expressed as a product of two binomials.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point on the graph of the quadratic function.

Front

What is the axis of symmetry in a quadratic equation?

Back

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