Assignment:
Q1. Divide, then write the result as a division statement.
a) (x3-3x2+5x-4)/(x-2)
b) (x3-3x-2)/(x+3)
Q2. Use the Remainder Theorem to determine the remainders (do not divide).
a) (x3-7x2+2x-4)/(x+2)
b) (4x3-2x2+7x-1)/(x-2)
Q3. Use the Factor Theorem to show that (x-1) is a factor of (2x4-11x3+12x2+x-4).
Q4. Find k so that km3-10m2+2m+3 has (m-3) as a factor.
Q5. Solve the following equation. Express roots to the nearest hundredth.
2m2-m-7=0
Q6. Solve the following equation by finding its zeros.
x3+9x2+26x+24=0
Provide complete and step by step solution for the question and show calculations and use formulas.