Download hw ch 6-9.4.tst

Math 120
Name_________________________________
Homework Due Monday March 28 12:10
Show all work using methods discussed in class. Do all work on a separate paper and place your answers in the space
providen on this sheet.
Subtract the polynomials.
1) (9x6 - 15x5 - 3) - (6x6 - 17x5 + 12)
1)
Find the product.
2) (2x - 4)(x - 5)
2)
3) (9x - 1) (x2 - 3x + 1)
3)
Multiply by using the rule for finding the product of the sum and difference of two terms.
4) (4 - 5r)(4 + 5r)
4)
Multiply by using the rule for the square of a binomial.
5) (8a - 5)2
5)
Solve.
6) The square garden in the figure measures x yards on each side. The garden is to be
expanded so that one side (the top of the figure) is increased by 5 yards and the adjacent
side (the right side of the figure) is increased by 2 yards. Write a polynomial in descending
powers of x that expresses the area of the larger garden. Then use the polynomial to
determine the area of the larger garden if the original garden measures 6 yards on a side.
6)
5 yards
2 yards
Find the product.
7) (2x - 3y)(7x - 6y)
Divide the polynomial by the monomial.
56x7 - 16x4 - 80x2
8)
8x2
Divide as indicated.
15x3 + 19x2 - 22x - 20
9)
3x + 5
7)
8)
9)
Use synthetic division to divide.
10) (x2 - 100) d (x - 10)
10)
Factor completely.
11) 12m9 + 8m4 - 12m2
11)
12) 12x4 + 15x2 - 8x2 - 10
12)
13) x3 - x2 - 30x
13)
14) 15x2 + 29x + 12
14)
15) 15z2 + 14z - 8
15)
16) -42x2 - 35x + 42
16)
Factor as completely as possible.
17) 3x2 - 300
17)
Factor as completely as possible. If unfactorable, indicate that the polynomial is prime.
18) r2 + 8r + 16
18)
Factor the binomial completely.
19) t3 + 64
19)
Solve the equation.
20) x2 + 3x - 40 = 0
20)
21) 25x2 = 36
21)
Simplify the expression.
y2 + 14y + 49
22)
y2 + 15y + 56
23)
4-m
m-4
Multiply. Simplify if possible.
10y + 5
6y
24)
œ
6
12y + 6
Divide. Simplify if possible.
49r2 + 56rt + 12t2
35r2 - 11rt - 6t2
25)
d
2
2
21r2 + 46rt + 24t2
25r - 45rt + 18t
Add or subtract as indicated. Simplify the result, if possible.
7
2
26)
x-4
4-x
Perform the indicated operation and simplify.
x
6
27)
2
2
x - 16 x + 5x + 4
22)
23)
24)
25)
26)
27)
Simplify the complex fraction.
5
5
x-2
x+2
28)
4
2
x -4
Solve the equation.
3
-1
1
+
=
29)
x + 5 x + 4 x2 + 9x + 20
28)
29)
Solve the problem.
30) The ratio of a basketball player's completed free throws to attempted free throws is 8 to 9.
If she completed 16 free throws, find how many free throws she attempted.
30)
31) A cyclist bikes at a constant speed for 15 miles. He then returns home at the same speed
but takes a different route. His return trip takes one hour longer and is 20 miles. Find his
speed.
31)
32) One pump can drain a pool in 3 minutes. When a second pump is also used, the pool only
takes 2 minutes to drain. How long would it take the second pump to drain the pool if it
were the only pump in use?
32)