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Test 12 Review - Polynomial Operations
(ALL WORK MUST BE SHOW TO SUPPORT FINAL ANSWERS)
Simplify the following expressions:
1. 3x – 12y – 2x2 + 6y
2. (3x2 – 4x + 8) + (2x – 7x2 – 5) 3. (3n2 + 13n3 + 5n) – (7n + 4n3)
Multiply the following polynomials:
4. -7m (3m2 + 4m + 5)
5. (2xy)(y2 + 4xy + 2)
6. (2x+1)(x-1)
7. (y+4)(y-4)
8. (2x+y)(3x-2y)
9. (x+3)(x2 + 2x - 4)
10. (x + 9)2
11.
(5-2x)2
Divide the following polynomials:
12.
13.
14. (2x2 + 5x – 3) ÷ (x + 3)
15. (x2 + 7x + 12) ÷ (x + 4)
a. (x – 1)
b. (2x + 1)
c. (2x – 1)
d. (2x2 – 1)
a. (2x + 3)
b. (x – 8)
c. (x – 3)
d. (x + 3)
Use polynomial operations to solve the following situations:
16.
3b – 4a + 5
6 + 2a
17.
2x + 4
X-9
6 + 2a
3b – 4a + 5
Area:
Calculate the actual area if x = 3.
Perimeter:
18. Find the perimeter of the triangle below.
3x + 6
2x2 – 5
Perimeter:
3x + 9x
2
19. A rectangular sandbox has an area of x2  3x square inches. If the width of the sandbox
is x inches, what is the length of the sandbox?
a. ( x – 3)
b. ( x + 3)
c. ( x + 1) d. ( x – 1)