Chapter 4

Question 1

How to use GCF to solve cubic equations

Answer 1

1. Identify GCF
2. Factor equation by using it (GCF*Equation)
3. SOlve quad equation to find solutions
   **only works when there is NO C.

Question 2

Product of powers exponent rule

Answer 2

x^a * X^b = X ^a+b

Question 3

power to a power exponent rule

Answer 3

(x^a)^b = x^a+b

Question 4

quotient of powers exponent rule

Answer 4

x^a/x^b = x^a-b

Question 5

power of a product exponent rule

Answer 5

(xy)^a = x^ay^a

Question 6

Power of a quotient exponent rule

Answer 6

(x/y)^a = x^a/y^a

Question 7

Fundamental theorem of Algebra

Answer 7

the degree of a polynomial determines solution.

Question 8

Fundamental Theorem of Algebra root table

Answer 8

Degrees II Roots

1 II 1 real root

2 II 2 real or 2 complex

3 II 3 real or 1 real and 2 complex

4 II 4 real or 2 real 2 complex or 4 complex.

** complex always in pairs!!!

Question 9

Rational Root Theorem

Answer 9

Can get a lost of possible solutions to a polynomial by the formula

Factors A / Factors of C

Question 10

Conjugate Root Theorem

Answer 10

if a + bi is a root of P(x) then a - bi is also a root of P(x)