Algebra II Midterm Formula's

Quadratic Formula

Discriminant

x = b²-4ac

How do you find the axis of symmetry?

x = -b/2a

Standard Form

ax+by = c

Vertex Form

y = a(x-h)²+k

Intercept Form

y = a(x-p)(x-q)

Sum of Cubes Equation

(a+b)(a²-ab+b²)

Difference of Cubes

(a-b)(a²+ab+b²)

What method you use when factoring a function with 2 terms

Sum or difference of a cube or square

What method you use when factoring a function with 3 terms

Square the trinomial or factor normally

What method you use when factoring a function with 4 terms

Grouping method

What are the solutions for a discriminant that is d>0 (perfect square)

2 Rational

What are the solutions for a discriminant that is d>0 (not a perfect square)

2 irrational

What are the solutions for a discriminant that is d=0

1 rational (double)

What are the solutions for a discriminant that is d<0

2 imaginary

What makes an equation linear

All coefficients must be real numbers and all exponents must be whole numbers