1. 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.

2. What is the value of P(1), that is, P(x) above evaluated at x = 1?
3. What is the value of Z(1), that is, Z(x) evaluated at x = 1?
4. What is the value of Z(2)?

5. What is the polynomial resulting from the polynomial addition P(x) + Q(x)?
6. What is the polynomial resulting from the polynomial subtraction Q(x) - P(x)?
7. What is the polynomial resulting from the polynomial multiplication P(x) * Q(x)?
8. What is the polynomial resulting from the polynomial division R(x) / P(x)?

9. Simplify

a. (5x4)3
b. (-3x2)3

10. Simplify. Write answers without negative exponents

This solution shows the step for adding, multiplying and subtraction polynomial and rising monomials to several exponents in an attached Word document.

Algebra: operations with polynomials. Section 5.1 Greatest Common Factor for Monomials Find the greatest common factor for each group of monomials. 40. ...

... DQ 6: Under which arithmetic operations on polynomials do you use the distributive law? ... Thanks for using BrainMass. Operations with polynomials. ...

Algebra Homework. ... 4. What operations are associated with exponents? ... DQ2. 1. When multiplying two polynomials, what fundamental property do you use repeatedly? ...

Need help solving algebra problems ... 1. Perform the indicated operation and simplify: w-6/w-7 - w+1/w ... 8.Identify the degree of each term of the polynomial and the ...

Algebra, Factions and Rational Expressions. ... and Subtraction of rational numbers Perform the indicated operation. ... 0. For the case of a polynomial denominator in ...

... Which of the following operations always come before the ... gives detailed solutions to a various algebra problems dealing with polynomials and equations. ...

... See attached file. Answers questions in algebra. ... page 353 For 44/45/47 and 51-53 Perform the indicated operation. ... page 289 Factor each polynomial completely. ...