# SYMKC Unit 7 Flashcards

the coordinate points where a graph intersects the x-axis

x-intercepts

the x-values of the x-intercepts, or the x-values where f(x) = 0

zeros

the x-values where f(x) = 0

solutions or zeros

another name for a solution

root

if ab=0, then a = 0 and b = 0. a and b are factors of a quadratic equation

zero product property

Quadratic Formula

Discriminant Formula

What is the purpose of a discriminant?

to determine the nature of the solutions of a quadratic equation

What kind of solutions would occur when the discriminant is greater than 0?

Two real solutions

What kind of solutions would occur when the discriminant is equal to zero?

One real solution that repeats

What kind of solutions would occur with the discriminant is greater than 0?

two imaginary solutions that are conjugates of one another

a conjugate of

a conjugate of

Systems consisting of one ________ equation and one _________ equation may have two solutions, one solution, or no solutions.

Linear

Quadratic