5. Digging Out and Using Roots to Graph Polynomial Functions

Question 1

Pre-Calculus for Dummies

What is a monomial?

Answer 1

Question 2

Pre-Calculus for Dummies

What is a polynomial?

Answer 2

Question 3

Pre-Calculus for Dummies

What can a polynomial not have?

Answer 3

Question 4

Pre-Calculus for Dummies

What are the differences between a monomial, binomial, and a trinamial?

Answer 4

Question 5

Pre-Calculus for Dummies

What is a degree?

Answer 5

Question 6

Pre-Calculus for Dummies

What is the degree of:

Question 7

Pre-Calculus for Dummies

What is a quadratic expression?

Answer 7

Question 8

Pre-Calculus for Dummies

Why bother learning the special techniques for solving polynomial?

Answer 8

Question 9

Pre-Calculus for Dummies

What is a factor?

Answer 9

Question 10

Pre-Calculus for Dummies

What is always the first step to factor a polynomial?

Answer 10

Question 11

Pre-Calculus for Dummies

If the polynomial is a trinomial how can you try to solve it?

Answer 11

Question 12

Pre-Calculus for Dummies

If the polynomial is a binomial how can you try to solve it?

Question 13

Pre-Calculus for Dummies

What do you call a quadratic that does not factor?

Answer 13

Question 14

Pre-Calculus for Dummies

If the quadratic does not factor, what other methods can you try?

Answer 14

Question 15

Pre-Calculus for Dummies

What is the standard form of a quadratic?

Answer 15

Question 16

Pre-Calculus for Dummies

How do you find the greatest common factor (GCF)?

Answer 16

Question 17

Pre-Calculus for Dummies

What is the box method and how does it work?

Answer 17

Question 18

Pre-Calculus for Dummies

What are four special cases that can occur when factoring trinomials and binomials?

Answer 18

Question 19

Pre-Calculus for Dummies

What is a perfect square trinomial?

Answer 19

Question 20

Pre-Calculus for Dummies

What is a difference of squares binomial?

Answer 20

Question 21

Pre-Calculus for Dummies

What is a sum of cubes?

Answer 21

Question 22

Pre-Calculus for Dummies

What is a difference of cubes?

Answer 22

Question 23

Pre-Calculus for Dummies

What does grouping to factor refer to?

Answer 23

Question 24

Pre-Calculus for Dummies

If a polynomial has four or more terms what is a good method to try to factor it?

Answer 24

Question 25

# Pre-Calculus for Dummies How do you use grouping to factor a polynomial with four terms?

Answer 25

Question 26

# Pre-Calculus for Dummies What are two methods to try if a quadratic equation will not factor?

Answer 26

Question 27

# Pre-Calculus for Dummies What is the quadratic equation?

Answer 27

Question 28

# Pre-Calculus for Dummies How do you complete the square?

Answer 28

Question 29

# Pre-Calculus for Dummies What is the degree of this equation and how many possible answers can it have?

Answer 29

Question 30

# Pre-Calculus for Dummies What is Descartes's rule of signs?

Answer 30

Question 31

# Pre-Calculus for Dummies How do you use Descartes's rule of signs?

Answer 31

Question 32

# Pre-Calculus for Dummies When will a quadratic equation have imaginary roots?

Answer 32

Question 33

# Pre-Calculus for Dummies Do imaginary roots cross the x-axis?

Answer 33

Question 34

# Pre-Calculus for Dummies What does the fundamental theorem of algebra say?

Answer 34

Question 35

# Pre-Calculus for Dummies Using Descartes's rule of signs and the fundamental theorem of algebra what are the possible root combinations of:

Answer 35

Question 36

# Pre-Calculus for Dummies How do you use the rational root theorem?

Answer 36

Question 37

# Pre-Calculus for Dummies What is sythetic division and how does it help with the rational root theorem?

Answer 37

Question 38

# Pre-Calculus for Dummies Using the rational root theorem you find that one possible root of a polynomial is 4, how do you use synthetic dividsion to find out if it is an actual root?

Answer 38

Question 39

# Pre-Calculus for Dummies With regards to synthetic dividsion, what is a double root?

Answer 39

Question 40

# Pre-Calculus for Dummies What is the remainder theorem?

Answer 40