1. Algebra 2
Test 3 Study Guide
Polynomials only have positive, integer exponents.
Classifying polynomials
Monomial one term Constant degree of 0
Binomial two terms Linear degree of 1
Trinomial three terms Quadratic degree of 2
Polynomial four or more terms Cubic degree of 3
Quartic degree of 4
What is the degree of a polynomial? Highest exponent
What is the leading coefficient of a polynomial? Coefficient of term with highest
exponent
Adding and subtracting polynomials
Find and .
and
and
Multiplying polynomials
Dividing polynomials – long division and synthetic division
Factoring quadratics

2. Solving quadratics
Graphing quadratics
Find the vertex, axis of symmetry, and x-intercepts for each graph. If there are no x-
intercepts, say so.
vertex: (0,1) vertex: (0, -3)
axis of symmetry: 0 axis of symmetry: 0
nox-intercepts

3. x-intercepts: 3 and -1 x-intercepts: 2 and -2
axis of symmetry: 1 axis of symmetry: 0
vertex: (1, -4) vertex: (0, -8)
axis of symmetry: 1 axis of symmetry: -1
vertex: (1, -1) vertex: (-1, -4)