(Show work for all problems please)
1. If x-2 a factor of f(x)=4x^3-3x^2-8x-4?


2. Is -1 a zero of p(x)=-3x^3-2x+1?


3. How many possible positive negative real zeros are there

for g(x)= 3x^3-2x^2+x+2?


4. Is 1/3 a "possible" real root for p(x)=3x^4-3x^3-3x^2-x+1

6. Use synthetix division to determine if -1 is a real root for f(x)=2x^4+x^3-7x^2-3x+3

7. Find the quotients of p(x)/q(x) and use the factor theorem prove your answer is correct
p(x)=5x^4+3x^2-x+11
q(x)=x+2
Quotient:______Is q(x) a factor of p(x)?

9. What is a possible equation when the degree is 3 and the zeros are 2 and 5+1?