1.Determine the coefficient of eachterm, the degree of eachterm, the degree of thepolynomial, the leadingterm, and the leading coefficient of the following polynomial.

x6x3

a. The coefficient of the term 6x6

b. The degree of the term6x6is

c. The coefficient of the term x3is

d. The degree of the termx3is

e. The degree of the polynomial is

f. The leading term of the polynomial is

g. The leading coefficient of the polynomial is

2.Determine the coefficient of eachterm, the degree of eachterm, the degree of thepolynomial, the leadingterm, and the leading coefficient of the following polynomial. 5x9+2x47x2+6

a.The coefficient of the term5x9is

b. The degree of the term5x9is

c. The coefficient of the term2x4is

d. The degree of the term2x4is

e. The coefficient of the term7x2is

f. The degree of the term7x2is

g. The coefficient of the term6is

h. The degree of the term6is

I. The degree of the polynomial5x9+2x47x2+6is

j. The leading term of the polynomial5x9+2x47x2+6is

k.The leading coefficient of the polynomial5x9+2x47x2+6is

3. Let f(x) = x27x+2. Findf(3).

1. f(3)=

4.Letf(xx) = x29x+5. Findf(1).

1. f(1)=

5.Letg(x)=3x39x2+3x+9. Findg( 3).

a. g(-3) =

6.Letf(x)=5x34x2+4x+8. Findf(0).

1. f(0)=

7. Perform the indicated operation. (10x3+6x26x+6) + (3x3+5x25x7)

a.Write the polynomial in standard form.(10x3+6x26x+6) + (3x3+5x25x7)

8.Letf(x)=8x35x2x+8 andg(x)=7x32x24x6.

1. Find (fg)(x)

b. Find(fg)(1)

9. Find theproduct5xy(6x+4y)

a.5xy(6x+4y) =

10. Find the product using either a horizontal or a vertical format.(x3)(x2+8x+3)

a..(x3)(x2+8x+3) =

11.Use the FOIL method to multiply the binomials.(4x+1)(2x+5)

1. (4x+1)(2x+5) = Simplify answer.

12. Use the FOIL method to multiply the binomials.(x6y)(5x+6y)

1. (x6y)(5x+6y) =Simplify answer.

13.Multiply using the rule for the square of a binomial.(x+2)2

a.(x+2)2 =

14. Multiply using the rule for the square of a binomial.(x6)2

1. (x6)2 =

15. Multiply using the rule for the product of the sum and difference of two terms. (2x+3y)(2x3y)

1. (2x+3y)(2x3y) =