Assignment:
Q1) Find the quotient,q(x), and the remainder,r(x), when 3x^3+9x^2-16x-51 is divided by x^2+5x+7.
q(x)=
r(x)=
Q2) Solve: x^3-1/2x^2+4/3=11/3x^2-2/3x+4/3
The smallest zero is ________
The largest zero is _________
Q3) Given that 3x-2 is a factor of 3x^3-2x^2-15x+10, select all of the following that are real solutions of the equation 3x^3-2x^2-15x+10=0.
a) x=2
b) x=sqrt(5)
c) x=-2/3
d) x=1
e) x=-sqrt(5)
f) x=2/3
g) x=5
Provide complete and step by step solution for the question and show calculations and use formulas.