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#### Online Quiz (WorksheetABCD)

Questions Per Quiz = 2 4 6 8 10

### High School Mathematics5.7 Important Points

 1. am.an = am+n. 2. am/an = am-n. 3. (am)n = amn. 4. a0 = 1. 5. Öa * Öa = a. 6. Öa = 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 factors of x2 - x - 2 = ______.(x+2) and (x-1)(x-2) and (x+1)(x+1) and (x-1) Q 2: Find the product of (x2 - 1)(x4 + x2 + 1) = ______.x6 - 1x6 + x4 - 1x6 - x4 - 1 Q 3: The product of (x + 1)(x + 2)(x - 3) is _______.x3 - 7x - 6x3 + 7x - 6x3 - 7x + 6 Q 4: Value of a0 = _____.a01 Q 5: The coefficient of x in the product (3x + 4)(2x - 5) is _______.5-77-5 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!