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You are not logged in. #1 20120809 05:25:38
Adding and Subtracting PolynomialsThese are the problems I got wrong on my newest lesson. I've tried a couple times to correct them and keep coming up with the wrong answer. If somebody could solve and show their so I can understand how to do it, that would be awesome! I'm just here to get some help with an online math course I'm taking. #2 20120809 05:38:27
Re: Adding and Subtracting PolynomialsHi; This is a 4th degree polynomial. Take a look here, http://www.mathsisfun.com/algebra/degre … ssion.html http://en.wikipedia.org/wiki/Degree_of_a_polynomial now try 8,9, and 10 on your own. Post your answers below. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #3 20120809 05:45:05
Re: Adding and Subtracting PolynomialsHi SlowlyFading, has 3 as the highest degree, so the degree of the polynomial is 3. Adding and subtracting polynomials is just like adding and subtracting numbers. You collect the like terms(the terms which have the same degree) and add or subtract them together. For example: First you take care of the negative sign: Then group the like terms together: And now add or subtract: Follow these rules and try the questions you have posted again. Post your answers here, so we can see where you went wrong. Cheers, C25 PS Also look at the links bobbym posted Last edited by careless25 (20120809 05:47:14) #4 20120809 07:20:24
Re: Adding and Subtracting PolynomialsHi SlowlyFading! are place value like in arithmetic. They can be rewritten as 8 27 9 and 6 20 1 leaving spaces between the coefficients since they go with different powers of x. Line them up just like in arithmetic and add or subtract. 8 27 9 6 20 1 _________ and get the sum and difference like in arithmetic except you have signed numbers. 14 47 8 is the sum. ...NEVER... carry or borrow between columns because the base is unknown so we can't tell how much we are borrowing, etc. 2 7 10 is the difference This makes the algebra easier than the arithmetic. Put the powers of x back in like you would powers of 10 (squared, first power, constant) are the sum and difference, respectively. If there are missing powers of x in the polynomial then you must put zeros for the coefficients in the short form. This is somewhat like asking someone to write you a check for $31 and seeing if they mind you slipping in a couple of zeros ($3001). The zeros make a difference. We are taught quite well to do short forms in arithmetic, but in algebra they go back to the expanded forms. That makes in all harder: Try to multiply 497*859 in the form writing out all the exponents of 10 throughout. How much fun would that be? I hope this will help you and not confuse you. Consider it like the options I saw for dinner in a restaurant: 1) Take it. 2) Leave it. Writing "pretty" math (two dimensional) is easier to read and grasp than LaTex (one dimensional). LaTex is like painting on many strips of paper and then stacking them to see what picture they make. #5 20120810 05:14:50
Re: Adding and Subtracting PolynomialsFor 6  10: I'm just here to get some help with an online math course I'm taking. #6 20120810 05:23:46
Re: Adding and Subtracting PolynomialsHi SlowlyFading; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #7 20120810 05:31:02
Re: Adding and Subtracting PolynomialsHi slowlyfading! You can leftclick on the "pretty math" line and it will show you what was typed to get it. The \\ before and after just causes the "pretty math" to be on a separate line. Writing "pretty" math (two dimensional) is easier to read and grasp than LaTex (one dimensional). LaTex is like painting on many strips of paper and then stacking them to see what picture they make. #8 20120811 03:56:32
Re: Adding and Subtracting PolynomialsI don't even know what latex is bobbym.. I'm just here to get some help with an online math course I'm taking. #9 20120811 04:10:26
Re: Adding and Subtracting Polynomialshi SlowlyFading, So let's write it without the brackets: Now I'll move together 'like terms' moving the + and  signs along with the numbers and letters. It is important to keep the signs attached to each term! Now simplify like terms. and we're finished. Bob You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #10 20120812 05:31:15
Re: Adding and Subtracting PolynomialsAwesome! I'm just here to get some help with an online math course I'm taking. #11 20120812 06:41:48
Re: Adding and Subtracting Polynomialshi, #12 20120812 07:03:10
Re: Adding and Subtracting Polynomialshi SlowlyFading
Do one step at a time. (ii) Keep the sign with the term and move like terms together (iii) Simplify the terms Bob You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #13 20120813 13:51:06
Re: Adding and Subtracting PolynomialsOkay, thanks guys. I'm just here to get some help with an online math course I'm taking. #14 20120813 13:58:22
Re: Adding and Subtracting PolynomialsHey #15 20120813 14:14:59
Re: Adding and Subtracting PolynomialsHi SlowlyFading;
What does that mean? In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #16 20120813 16:48:25
Re: Adding and Subtracting Polynomialshi SlowlyFading, That minus sign is telling you the 'x' has got to be subtracted so that's why I say move the sign with the term. Hope that helps. Bob You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #17 20120814 01:25:42
Re: Adding and Subtracting PolynomialsHi everyone! Last edited by noelevans (20120814 01:45:05) Writing "pretty" math (two dimensional) is easier to read and grasp than LaTex (one dimensional). LaTex is like painting on many strips of paper and then stacking them to see what picture they make. #18 20120814 05:19:30
Re: Adding and Subtracting PolynomialsOkay, thanks guys! I think I'm understanding this.. I'm just here to get some help with an online math course I'm taking. #19 20120814 07:31:07
Re: Adding and Subtracting Polynomialshi Slowlyfading, Remove the brackets. Notice the minus in the second bracket now becomes a plus. Collect together like terms. Simplify the like terms 16. (x3 + 2x^2 + 5x) – (3x^2 – x – 7) The answer should be 2x^3 + x2  2x ? You are muddling terms that are not'like'. Try correcting this like I have shown you. 17. (5x^4 – 2x^2) – (3x – 2x^2  4x^3 + 6x^4) The answer should be 9x^4  x3 + 4x^2 + 3x? The same problem here. The like terms are in a different order. Try correcting this like I have shown you. 18. (x^2 + 4x  3) + (x2 – 2x + 6) The answer should be ? Try correcting this like I have shown you. 19. (4x3 – x2 + 8) + (5x2  x – 12) The answer should be 9x3 – x  4? x and 4 Ok but the x^3 and x^2 terms are not right. Try correcting this like I have shown you. 20. (5x2  5x + 3) – (6x2 – x) The answer should be 11x2  4x + 3? correct. Bob You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #20 20120814 12:52:49
Re: Adding and Subtracting PolynomialsHi Slowlyfading! Writing "pretty" math (two dimensional) is easier to read and grasp than LaTex (one dimensional). LaTex is like painting on many strips of paper and then stacking them to see what picture they make. #21 20120815 02:19:32
Re: Adding and Subtracting PolynomialsOkay, I tried those 10 problems noelevens! I'm just here to get some help with an online math course I'm taking. #22 20120815 02:29:56
Re: Adding and Subtracting PolynomialsHi SlowlyFading; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #23 20120815 02:53:51
Re: Adding and Subtracting PolynomialsHi SlowlyFading! Writing "pretty" math (two dimensional) is easier to read and grasp than LaTex (one dimensional). LaTex is like painting on many strips of paper and then stacking them to see what picture they make. #24 20120816 03:33:52
Re: Adding and Subtracting PolynomialsThanks noelevens! I'm just here to get some help with an online math course I'm taking. #25 20120816 05:39:39
Re: Adding and Subtracting PolynomialsHi SlowlyFading! 14 and 16 were correct. The others just slightly off. 18. (x^2 + 4x  3) + (x2 – 2x + 6) 19. (4x^3 – x2 + 8) + (5x^2  x – 12) You'll notice that in going from the first "pretty" line to the second "pretty" line that I started with the highest power available and scanned both polynomials for the terms with that power and then put both of them next to each other (if there were some in both polynomials). HANG IN THERE!!! You are well on the way. Writing "pretty" math (two dimensional) is easier to read and grasp than LaTex (one dimensional). LaTex is like painting on many strips of paper and then stacking them to see what picture they make. 