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Quiz 5-5 and 5-6 Review

Total questions: 14

Worksheet time: 1hrs 26mins

Name
Class
Date
1.

Factor completely. If the polynomial is not factorable, choose prime.

4ab2 - 8a2b + 16a3b3

a)

4ab(b - 2a + 4a2b2)

b)

2a(2b2 - 4ab + 8a2b3)

c)

4ab(4ab2 -8a2b+16a3b3)

d)

prime

2.

Factor completely. If the polynomial is not factorable, choose prime.

16x2 + 9

a)

(4x + 3)(4x - 3)

b)

(2x + 3)(2x - 3)

c)

(4x - 3)2

d)

prime

3.

Factor completely. If the polynomial is not factorable, choose prime.

x3 - 343

a)

(x + 7) (x2 - 7x + 49)

b)

prime

c)

(x - 7) (x2 + 7x + 49)

d)

(x2 - 343) (x + 1)

4.

Factor completely. If the polynomial is not factorable, choose prime.

5n³-10n²+3n-6

a)

(5n²+3)(n-2)

b)

(5n²-3)(n-2)

c)

(5n³+3)(n-2)

d)

prime

5.

Factor completely. If the polynomial is not factorable, choose prime.

80x5 - 70x2 - 60x7

a)

2x2 (80x3 - 70 - 60x6)

b)

prime

c)

10x2 (8x3 - 7 - 6x5)

d)

3x2(80x3 - 40 - 60x5)

6.

Factor completely. If the polynomial is not factorable, choose prime.

12ax2 - 18bx2 +24cx2 -10ay2 +15by2 -20cy2

a)

6x2(2a - 3b + 4c) - 5y2(2a - 3b + 4c)

b)

prime

c)

(6x2 - 5y2)(2a - 3b + 4c)

d)

(6x2 + 5y2)(2a + 3b - 4c)

7.

Write the expression in quadratic form.

x6 + 3x3 -5

a)

(x2)3 + 3(x3) - 5

b)

(x2)3 + 3(x2) - 5

c)

(x3)2 + 3(x3) - 5

d)

(x2)2 + 3(x2) - 5

8.

Write the expression in quadratic form.

7x4 + 3x2 - 9

a)

7(x2)2 + 3(x2) - 9

b)

7(x3)1 + 3(x2) - 9

c)

7x2 + 3x2 - 9

d)

(x2)2 + 3(x2) - 9

9.
Solve the following equation:
x4 - 6x2 + 8 = 0
a)
2, -2
b)
2, -2, √2, 2i
c)
√2, -√2
d)
2, -2, √2, -√2
10.

Factor completely. If the polynomial is not factorable, choose prime.

3ax + 2ay - az + 3bx + 2by - bz

a)

(a - b)(3x - 2y - z)

b)

(a + b)(3x + 2y - z)

c)

prime

d)

(a + b)(3x - 2y - z)

11.

If f(x) = 3x2 -9x -20, find the value of f(5) using synthetic substitution.

a)

0

b)

10

c)

15

d)

-7

12.
if f(x) = x3+8x+24, then find f(-2) using synthetic substitution.
a)
12
b)
8
c)
0
d)
-6
13.
            Is (x-2) a factor of             f(x)= x3-8x2+14x-4?
a)
Yes, (x-2) is a factor. There is a remainder.
b)
No, (x-2) is  not a factor. The remainder is zero.
c)
Yes, (x-2) is a factor. The remainder is zero.
d)
No, (x-2) is  not a factor. There is a remainder. 
14.

What are the three factors for (x3 -3x2 -4x +12) ÷ (x + 2)?

a)

(x-2) (x+2) (x+3)

b)

(x-2) (x-2) (x+3)

c)

(x+2) (x+2) (x+3)

d)

(x-2) (x+2) (x-3)