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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics
5.7 Important Points

1. am.an = am+n.

2. am/an = am-n.

3. (am)n = amn.

4. a0 = 1.

5. a * a = a.

6. a = a1/2.

7. (a+b)2 = a2 + 2ab + b2.

8. (a-b)2 = a2 - 2ab + b2.

9. (a+b)2 - (a-b)2 = 4ab.

10. (a+b)2 + (a-b)2 = 2a2 + 2b2.

11. (a+b)(a-b) = a2 - b2

12. (a+b)3 = a3 + 3a2b + 3ab2 + b3.

13. (a-b)3 = a3 - 3a2b + 3ab2 - b3.

14. a3 + b3 = (a+b)(a2 - ab + b2).

15. a3 - b3 = (a-b)(a2 + ab + b2).

16. (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca.

17. (a + b - c)2 = a2 + b2 + c2 + 2ab - 2bc - 2ca.

18. (a - b + c)2 = a2 + b2 + c2 - 2ab - 2bc + 2ca.

19. (a - b - c)2 = a2 + b2 + c2 - 2ab + 2bc - 2ca.

20. (a + b + c)(a2 + b2 + c2 - ab - bc - ca) = a3 + b3 + c3 -3abc.

21. (ax + b)(cx + d) = (ac)x2 + (ad + bc)x + bd.

22. (x + a)(x + b)(x + c) = x3 + (a + b + c)x2 + (ab + bc + ca)x + abc.


Directions: Choose the correct answer. Also write an example for each of the above formulas.
Q 1: Find the product of (x2 - 1)(x4 + x2 + 1) = ______.
x6 - 1
x6 + x4 - 1
x6 - x4 - 1

Q 2: The product of (x + 1)(x + 2)(x - 3) is _______.
x3 + 7x - 6
x3 - 7x - 6
x3 - 7x + 6

Q 3: Exponent in -37 = ______.
3
-3
7

Q 4: Value of a0 = _____.
0
a
1

Q 5: Find factors of x2 - x - 2 = ______.
(x-2) and (x+1)
(x+2) and (x-1)
(x+1) and (x-1)

Q 6: Find the factors of x2 - 2x - 3 = ________.
(x - 3) and (x - 2)
(x - 3) and (x + 3)
(x + 3) and (x + 2)

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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