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Your Divide_ Remainder: Quotient: Jamsue 3 CJ 07 Pinoys 13x + Unproctored give 47)+ (r+6) the Juawajeld quotient pue 0 the Assessment remainder;Time Remaining:...

Question

Your Divide_ Remainder: Quotient: Jamsue 3 CJ 07 Pinoys 13x + Unproctored give 47)+ (r+6) the Juawajeld quotient pue 0 the Assessment remainder;Time Remaining:

Your Divide_ Remainder: Quotient: Jamsue 3 CJ 07 Pinoys 13x + Unproctored give 47)+ (r+6) the Juawajeld quotient pue 0 the Assessment remainder; Time Remaining:



Answers

Find the quotient and the remainder. Check your work by verifying that (Quotient) (Divisor) $+$ Remainder $=$ Dividend $$ x^{3}-a^{3} \text { divided by } x-a $$

And this problem was he was long division to divide, so to execute. Divided by X, we're gonna get to X squared. We'll play it back and we're going to get two x cubed plus six X squared. Subject that three X squared minus six. Expert is negative. Three x word we then bring down this minus forks. Divide our ex into this negative three x squared. We're going to get minus three X. If we multiply that end, we'll get minus three X squared minus three x times three is minus nine x. We subtract this minus four x minus and negative. Nynex gives us positive five x Bring the 15 down divide five by X into five X We get plus five. We'll deploy that we get five X plus 15 leaving us no remainder. So it means that s let's see divides into his polynomial and we get a quotient of two X squared minus two equals five and the remainder Thus I do it

So here we're gonna divide this truce of 50 x squared plus X monies to buy three X cubed minus one. So the reason that there's these blanks in the middle of this dividend is just so we can add in our plus zero terms like plus zero x before and plus zero x cute just to make following this division will be easier. Now, let's check How many times does three x cute going to three x to the fifth? It would be X squared times because X squared times two x cubed would be this three x 2/5. Now we have to subtract that x squared by every with the multiply the expert by every number the divisor then subtracted expert time stories cubed is destry action of fifth X squared times Negative one would be this negative X squared so would started here and now subtract. So when we fall through with everything, this is gonna be tricks of fifth money streaks of the fifth zero. And then all of these terms are also zero An ex court native x squared minus negative. X squared would also be a zero and all we have left is this explodes to term X minus two term and three x cubed cannot go into its X minus two term. So therefore, this must be our remainder. And now we can check if this is true by multiplying the question that we found by our divisor and adding the remainder to see if it equals the dividend. So let's check that three X cubed times X squared would be three extra fifth negative one times X squared for being negative x squared. And then we can add this X and add the negative to from the question and that would equal our original dividend. So therefore the question is X squared and the remainder is X minus two.

Way. Want Divide X to the fifth and I'm throwing a zero x to the fourth for space minus X to the third plus zero X Square plus X minus five by X minus two. So we'll start the process. Divide the first terms extra. The fifth, divided by X, is X to the fourth will play set above the fourth's. And then we distribute thanks to the fifth minus two X to the fourth. And then we subtract. Except if it's cancel zero minus negative. She was positive. Two x to the fourth. Bring down the next term repeat to exit. The fourth, divided by X, is two x to the third. Distribute the to exit the third. We get two x to the four minus four x to the third. Subtract the two x of the force canceled negative one minus negative for his negative one plus four or three x cubed. Drop down the nets term and repeat three x to the third. Divided by X is three x squared Distribute. We get three x to the third minus six X squared tract three X cubes Cancel zero minus negative. Six is positive. Six X squared Drop down the next term. X Repeat again in six X, where divided by X is six x Distribute the six x you get six X squared minus 12 ax. Subtract this XX Words are gone one x minus Negative 12 is one plus 12 or 13 x. Bring down the last term of minus five 30. Next of out of a exes, plus 13 distribute, Get 13 x minus 26. Subtract one. Last time the 13 exes were gone. Negative five minus negative. 26 is negative five plus 26 or 21. So the quotient is X to the fourth plus two x cubed plus three X squared plus six X plus 13 and the remainder is 21. No, we want to check our solution. We multiply the divisor X minus two by the ocean. Acts of the fourth plus two x to the third plus three X squared plus six X plus 13 and then add to it the remainder. So let's distribute the X through our degree. For polynomial, you'll get extra 50 plus two extra Fourth must three x to the third was six pack spirit was 13 X and then distribute the negative to get night of two extra the fourth minus four X cubed minus six X squared minus 12 X minus 26. And then we're gonna add the 21 combine our like terms we get X to the fifth and then for our degree for a plus and minus degree to, uh, exit before. So they're gone. Extra the thirds. We have a positive three and a negative for that makes negative one x to the third X squared. We have six in negative six. They're gone. Exes. We have 13 and negative 12. That's positive. One X and then our Constance, We have negative 26 a positive 21. That makes negative five. So we get our original polynomial.

Hello, everyone. So, according to question, we have to perform the division on. If our answer is coming down zero, then we have to write it in the form off question plus remainder upon divisor from Okay, so let's where ends all this. So as we all know that toe, hold this. We have to just divide this first. By this, we will get two eggs square. Now we have toe multiplies is two x square with X minus one. So we will get eggs. Me minus two eggs. We will just continue designs. We let it two X and this one will. Yeah, yeah. To express one. No, find this will be two x square. Okay, so now we have to divide this two weeks. Where? By express. So we will get less two X and we will not apply this by X minus one. So we will get to eggs Square plus one. Okay, so no, a little bit. Sorry. We will get minus two x here because this went to experiment applied by this, it welcomes minus two X plus one. Okay. No, you will not write this. So that's going to get this will be canceled. and two x bless What? Okay, so here I can perform so to eggs. My plus one. No, We will divide these two x by X so we will get plus two unwell. Plus two will be for the multiplied by X minus one. So we will get two eggs minus two. So no sign will be positive. And that's what it become. Plus, this will cancel and it will become a story. So it is non zero. So we have to write it in the form off. Why shouldn't plus reminder upon Judaism? So what is the question? That question is coming to X square. Last do X? Yes, toe for this three upon Thanks. And my minus one. So this is our Hans. Thanks for with you.


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