1 00:00:01,650 --> 00:00:09,870 The court's order polynomial is it is equal to inside the square because you will write the efficient 2 00:00:09,960 --> 00:00:11,470 polynomials. 3 00:00:11,490 --> 00:00:17,550 Remember that you write the coefficient uploaded on meals and then you will write all physical toll 4 00:00:17,620 --> 00:00:18,820 roads off. 5 00:00:19,110 --> 00:00:22,730 Then you will find the root of these polynomials. 6 00:00:22,860 --> 00:00:30,450 What are the raw softest polynomial and to be is equal to polynomial in r polynomial. 7 00:00:30,450 --> 00:00:32,420 In those roots. 8 00:00:32,420 --> 00:00:33,090 Okay. 9 00:00:33,150 --> 00:00:38,420 And if you want to multiply with upper normals with any real them. 10 00:00:38,420 --> 00:00:45,360 But just like if you want to multiply the polynomial with 5 then this polynomial look at these coefficients 11 00:00:45,360 --> 00:00:48,030 will be multiplied by 5. 12 00:00:48,030 --> 00:00:54,210 Now we're taking another polynomial and this polynomial will also be written inside the square backwards. 13 00:00:54,250 --> 00:01:00,720 Okay so if you want to find that there are two polynomials the first polynomial is eight and the second 14 00:01:00,720 --> 00:01:02,250 bottom is B. 15 00:01:02,250 --> 00:01:09,270 If you want to find the sum of these polynomials then you are Type A plus B Some is equal to A plus 16 00:01:09,270 --> 00:01:11,220 me after pressing the internal button. 17 00:01:11,220 --> 00:01:18,600 You'll find that some artist polynomials and D I believe means Diff diff is equal to A minus speak which 18 00:01:18,600 --> 00:01:25,290 means that when you will after writing this after typing this then you will press the enter button then 19 00:01:25,290 --> 00:01:26,800 you will find a difference. 20 00:01:26,910 --> 00:01:34,710 So if you want to find a product of two polynomials then it is product is equal to corn's gone. 21 00:01:35,040 --> 00:01:43,740 And the and inside the parenthesis you will write a comma B okay after printing the enter button you 22 00:01:43,740 --> 00:01:50,780 will find the product of these two polynomials the first volume is 8 and the second bottom is me after 23 00:01:50,890 --> 00:01:58,050 writing this product is equal to C and V inside the parenthesis equal man B you will get the product 24 00:01:58,110 --> 00:02:02,350 of these two polynomials a and b. 25 00:02:02,790 --> 00:02:09,200 Let me take an example to understand how this chord is worked in Matlab. 26 00:02:17,000 --> 00:02:22,790 Now you'll write the coefficient of polynomials is equal to 1 2 3 4 5 6. 27 00:02:22,800 --> 00:02:31,230 These are the roots of the polynomial it may be just like that you can see x 5 plus 5 x four plus three 28 00:02:31,230 --> 00:02:37,650 X square three X school plus five x squared just like means you are writing over here the coefficient 29 00:02:37,710 --> 00:02:38,870 off polynomial. 30 00:02:38,910 --> 00:02:46,020 So 1 2 3 4 5 6 and the coefficient to offer polynomials and you will close it with the semicolons. 31 00:02:46,030 --> 00:02:53,050 OK so now we will find the root of root of these polynomials. 32 00:02:53,120 --> 00:02:54,400 Okay. 33 00:02:54,450 --> 00:03:03,630 In order to find the root of this polynomial the chord visual works in MATLAB it is R is equal to roots 34 00:03:03,780 --> 00:03:11,370 of E and E will be written inside the parentheses of compressing the intermittent you will get the root 35 00:03:11,460 --> 00:03:13,910 of this polynomial. 36 00:03:13,920 --> 00:03:21,170 So these are the rules for this polynomial and we want to find a polynomial in terms of root. 37 00:03:21,270 --> 00:03:27,780 So if we want to find the anomaly in terms of root you will write the code B's equal to Polly insert 38 00:03:27,780 --> 00:03:32,060 the parentheses you will write R so B is equal to this. 39 00:03:32,200 --> 00:03:33,460 E these other. 40 00:03:33,750 --> 00:03:35,400 This is a polynomial. 41 00:03:35,430 --> 00:03:36,080 Okay. 42 00:03:36,330 --> 00:03:43,580 And if you want to multiply the polynomial with the 5 it will get to just like s okay. 43 00:03:43,730 --> 00:03:44,980 No. 44 00:03:45,360 --> 00:03:50,430 B is equal to we are taking another polynomials whose coefficient. 45 00:03:50,430 --> 00:03:51,120 Of course. 46 00:03:53,070 --> 00:03:53,600 Yes. 47 00:03:53,610 --> 00:03:56,370 B is equal to another other polynomials. 48 00:03:56,370 --> 00:04:04,290 And efficient are this polynomials is 4 3 4 5 6 and 7. 49 00:04:04,290 --> 00:04:09,660 So these are the coefficient of this polynomials which is B. 50 00:04:09,930 --> 00:04:19,710 So operating the this polynomials whose coefficients are for 3 4 5 6 and 7. 51 00:04:19,800 --> 00:04:28,440 You will close it with the semicolons and after all we want to find the sum of these two polynomials 52 00:04:28,460 --> 00:04:31,730 and b we will write to some is equal to a plus b. 53 00:04:31,740 --> 00:04:35,980 So this is the chord some is equal to it plus b you will find a sum. 54 00:04:36,120 --> 00:04:36,870 Yes. 55 00:04:36,870 --> 00:04:44,600 So these are the coefficient of another polynomials who's just like 5 5 7 9 11 and 13. 56 00:04:44,910 --> 00:04:50,130 So these these are the coefficient of another polynomials of per adding. 57 00:04:50,130 --> 00:04:56,150 Remember that when we add two polynomials we will get another polynomials so when will subtracting polynomials 58 00:04:56,220 --> 00:04:58,260 will get another polynomials. 59 00:04:58,300 --> 00:05:03,420 Okay so different scored is means subtraction called is it is e minus B. 60 00:05:03,540 --> 00:05:05,850 So this is the difference. 61 00:05:06,700 --> 00:05:11,060 Okay we'll find the product to find the product will write the chord. 62 00:05:11,220 --> 00:05:17,580 Product is equal to gone C or and V inside the parenthesis you will write equal man B which means that 63 00:05:17,580 --> 00:05:24,000 you are multiplying two polynomials and B so these are the coefficient of these two polynomial so for 64 00:05:24,000 --> 00:05:30,830 eleven 20 to 30 year to 60 89 90 94 88 71 and 42. 65 00:05:30,840 --> 00:05:35,970 These are the coefficient of a parameter mumble that when you will multiply two but normal just like 66 00:05:36,480 --> 00:05:39,130 X get multiplied by X three. 67 00:05:39,180 --> 00:05:40,630 Our answer is X 5. 68 00:05:40,650 --> 00:05:44,730 So it means that our coefficient will start from x 5. 69 00:05:44,790 --> 00:05:47,970 Not so therefore this is a huge list. 70 00:05:47,970 --> 00:05:54,240 This is a little long list you can see because we are multiplying two polynomials. 71 00:05:54,590 --> 00:05:55,130 Okay. 72 00:05:55,290 --> 00:05:57,540 Just like as I have described. 73 00:05:57,780 --> 00:06:07,920 If I multiply x 7 with X it means that the answer is X 15 so our coefficient will start from x 15 and 74 00:06:07,920 --> 00:06:12,990 it will end on at a constant 14 13. 75 00:06:13,050 --> 00:06:17,180 This like x x 11 x10 x 9. 76 00:06:17,240 --> 00:06:18,220 The rest of the body. 77 00:06:18,310 --> 00:06:23,730 Okay so these are the coefficient for eleven twelve thirty eight is the coefficient after multiplying 78 00:06:23,760 --> 00:06:27,160 two polynomials polynomial e and polynomial B. 79 00:06:27,270 --> 00:06:36,090 Of course the polynomial e and polynomial b the coefficient of the product must be the coefficient of 80 00:06:36,090 --> 00:06:36,630 the product. 81 00:06:36,630 --> 00:06:41,910 Are you going to say that race to the bottom of the multiplicative polynomials is all this less than 82 00:06:41,910 --> 00:06:43,330 ENP. 83 00:06:43,320 --> 00:06:52,740 Okay so now we are going to another concept after a product by taking the product to offer to polynomials 84 00:06:53,910 --> 00:07:04,840 we are moving to and that concept long find us good root of E on our first find the scared off first 85 00:07:04,840 --> 00:07:08,370 polynomials e gear so it is hard. 86 00:07:08,830 --> 00:07:11,890 So it is not working as I have right is good. 87 00:07:11,910 --> 00:07:18,530 It is not working it means that we will apply the just like product is equal to on e commerce. 88 00:07:18,880 --> 00:07:22,990 Then we will find the product of V Okay well find or find a skill scuttled off. 89 00:07:23,500 --> 00:07:31,660 So the scuttled off the put me in a is good business ask you R D and inside the princess you will write 90 00:07:31,770 --> 00:07:37,650 e and after writing Eagle Pass to enter Britain and these are the coefficient of taking the skilled 91 00:07:37,770 --> 00:07:47,640 of the polynomial E okay and scared off the polynomial B inside the parenthesis you will write be scared 92 00:07:47,650 --> 00:07:54,700 root of B is equal to these are the coefficient of the square root okay. 93 00:07:54,730 --> 00:07:58,650 These are the coefficient of upward and on me also for taking scuttled No. 94 00:07:58,780 --> 00:08:08,380 If we want to fund the product of gone of scuttled off e and scuttled off we will be separated by coal 95 00:08:08,570 --> 00:08:14,680 center parenthesis after pressing the interim button you will find the product of scuttled off a and 96 00:08:14,680 --> 00:08:21,740 square root of B so okay yes b no the interpreter. 97 00:08:22,750 --> 00:08:29,170 So these are the coefficient of LA but normals after multiplying the skilled coffee and scuttled off 98 00:08:29,620 --> 00:08:30,030 B. 99 00:08:30,230 --> 00:08:33,580 Well you understand this lecture me too and then I to again.