Unit 3 Part 2 Math Vocab

Discriminant

𝑏2 − 4𝑎𝑐 ; tells us the solutions there are to a given quadratic • 𝑏2 − 4𝑎𝑐 > 0 -- 2 real roots • 𝑏2 − 4𝑎𝑐 = 0 -- 1 real roots • 𝑏2 − 4𝑎𝑐 < 0 -- 0 real roots

Radicand

the number/expression inside the radical symbol

Radical

the √ symbol when taking a root of number

In AA 2.1, why did we only consider the positive x-intercept?

Cannot have negative time or height

What is the connection between baseball and quadratic functions?

trajectory path of a batter hitting a baseball is a parabola

Quadratic Formula

−𝑏±√𝑏2−4𝑎𝑐/2𝑎 where 𝑎, 𝑏, 𝑐 come from 𝑎𝑥2 + 𝑏𝑥 + 𝑐 = 0 ; helps us solve any quadratic equation, especially when we cannot easily factor

Index/Degree

tells us what root we are asked to find

Why are all models wrong, but some are useful?

We cannot include every factor of an event in a model incompatible. However, the model can give us information

When we set our function equal to zero, factor, and solve for x, what are we finding?

X-intercepts

Prime Factorization

a process of writing all numbers as a product of primes

Prime Number

a whole number greater than 1 whose only factors are 1 and itself

Factor

a whole number that can be divided evenly into another number.

Greatest Common Factor (GCF)

the largest factor that a grouping of numbers share