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about polynom, only ten problems in this file, and completed by solutions!
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- 2. Quest 1 If x=-2 is the root of f(x)= ,so determine the result of multiplication of the roots! reezarschool.blogspot.com 1/24/2011
- 3. Answer: The first we must find the value of k. You can? Ok, follow this way! f(2)=0……………………..(don’t forget, 2 is the root of f(x)) reezarschool.blogspot.com 1/24/2011
- 4. After we found k, now we must find what the other roots. By horner: From above ,we can get From R(x), we get the roots!(remember the formulae of “abc” So,the roots are -2, and reezarschool.blogspot.com 1 4 7 6 -2 -2 -4 -6 1 2 3 0 1/24/2011
- 5. Quest 2 Determine the roots of reezarschool.blogspot.com 1/24/2011
- 6. Answer: To finish it,we must determine the factor of yheconstanta! The factors are After that,we must decide the roots from that factors! From above we can decide -3 to be the root! Because,f(-3)=0 By horner,we can get R(x). reezarschool.blogspot.com 1/24/2011
- 7. Notice it! So, And,now let’s find the roots!! From R(x), we can get the factors : From above, we can get the answer, the roots are reezarschool.blogspot.com 3 -2 -27 18 -3 -9 33 -18 3 -11 6 0 1/24/2011
- 8. Quest 3 Determine the value of p ,if And divided by x+1 will give same result! reezarschool.blogspot.com 1/24/2011
- 9. Answer: Ok,the first you must find the residual of distribution! How? It’s easy!! You only determine f(-1). In the second equation, we can get the value f(-1)! So, this is the residual of distribution! So we get the answer: Notice it!! reezarschool.blogspot.com 1/24/2011
- 10. Quest 4 The one of the roots of Is 3,so the total of the other roots is……….. reezarschool.blogspot.com 1/24/2011
- 11. Answer: By horner!! And , From this equation, we can get the answer! The factors from that equation are So,the total is reezarschool.blogspot.com 2 -7 -7 30 3 6 - 3 -30 2 -1 -10 0 1/24/2011
- 12. Quest 5 If x-2 is the factor of So, Determine the other factors! reezarschool.blogspot.com 1/24/2011
- 13. Answer: use horner!! And the So the factors are reezarschool.blogspot.com 2 3 -8 -12 2 4 14 12 2 7 6 0 1/24/2011
- 14. Quest 6 What is the residual of distribution from reezarschool.blogspot.com 1/24/2011
- 15. Answer: Do you remember how to solve it?? Ok,notice it!! So,the residual of distribution is 10 reezarschool.blogspot.com 1/24/2011
- 16. Quest 7 Determine the factors of reezarschool.blogspot.com 1/24/2011
- 17. Answer: By horner: first,find the factors from 6 ,then decide what is the root! And, So the factors are First is x-2, then (2x-1) and (x+3) reezarschool.blogspot.com 2 1 -13 6 2 4 10 -6 2 5 -3 0 1/24/2011
- 18. Quest 8 If f(x) divided by x+2, the residual is 7, but when f(x) divided by x-3,the residual is 10. what the residual if f(x) divided by ? reezarschool.blogspot.com 1/24/2011
- 19. Answer: To solve this problem, we will use this formula: r=residual Where it come from?? Try to think! reezarschool.blogspot.com 1/24/2011
- 20. Quest 9 Prove that x=2 is the root of Then determine the other roots! reezarschool.blogspot.com 1/24/2011
- 21. Answer: Ok, first,let prove that 2 is the root of that equation! So, it’s proved!! Then, 2 is the root!! To find other roots,so let’s find with horner! reezarschool.blogspot.com 1/24/2011
- 22. And , Then, we can get the factors of R(x). The factors are (x-3) and (x-1) So,from above, we get the roots are 3 and 1 reezarschool.blogspot.com 1 -6 11 -6 2 2 -8 6 1 -4 3 0 1/24/2011
- 23. Quest 10 f(x) divided by , will give the residual3x-1, then g(x) divided by ,Will give the residual 5x+2. Now, t(x)=f(x)-g(x). Determine the residual of distribution if t(x) divided by ! reezarschool.blogspot.com 1/24/2011
- 24. Answer: It’s easy! You know that the divisor is same! So it can be done by this way: reezarschool.blogspot.com Remember the rule!! For example: (6-2):2=3-1=2 1/24/2011