FLASHCARD: 6.7 Quad Inequalities + Review

Front

Solve and find your zeros: z(z - 15)=0

Back

z=0 and z=15

Front

Solve and find your x-intercepts: 0=x(x - 6)

Back

x=0 and x=6

Front

Solve for the values of x: (x - 3)(x + 6) = 0

Back

{ 3, -6 }

Front

Solve for the values of x: (2x + 5)(5x - 2) = 0

Back

{ -5/2, 2/5 }

Front

Solve for the values of x: (2x - 1)(x + 4) = 0

Back

{ 1/2, -4 }

Front

What is a quadratic inequality?

Back

An inequality that involves a quadratic expression, typically in the form ax^2 + bx + c < 0 or ax^2 + bx + c > 0.

Front

What are x-intercepts?

Back

The points where a graph intersects the x-axis, found by setting y=0.

Front

What does it mean to solve for zeros of a function?

Back

Finding the values of x for which the function equals zero.

Front

What is the factored form of a quadratic equation?

Back

An expression written as a product of its linear factors, e.g., (x - p)(x - q) = 0.

Front

How do you find the x-intercepts from a factored equation?

Back

Set each factor equal to zero and solve for x.