Assignment:
Q1. For each polynomial listed below, determine
i the degree of the polynomial
ii the coefficient of the leading term
iii the constant term
a. P(x) = x + 1
b. Q(x) = 3x + 2
c. R(x) = x2 + 2x + 1
d. W(x) = 4x2 + x + 3
e. Z(x) = 3x3 + 2x2 + x
Questions 2 through 8 below refer to the polynomials P(x), Q(x), R(x), and Z(x) of question #1.
Q2. What is the value of P(1), that is, P(x) above evaluated at x = 1?
Q3. What is the value of Z(1), that is, Z(x) evaluated at x = 1?
Q4. What is the value of Z(2)?
Q5. What is the polynomial resulting from the polynomial addition P(x) + Q(x)?
Q6. What is the polynomial resulting from the polynomial subtraction Q(x) - P(x)?
Q7. What is the polynomial resulting from the polynomial multiplication P(x) * Q(x)?
Q8. What is the polynomial resulting from the polynomial division R(x) / P(x)?
Q9. Simplify
a. (5x4)3
b. (-3x2)3
Q10. Simplify. Write answers without negative exponents
a. (-2x-2y)-3
b. (-3x-3y)2
Provide complete and step by step solution for the question and show calculations and use formulas.