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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
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
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)

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A2 Test 3 with answers 2011

  • 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)