Question
EXPONENTS AND POLYNOMIALS Polynomial long division: Problem type 1Divide:(12x2+29x+15)+ (3x+5)Your answer should give the quotient and the remainder:Quotient:Remainder:
EXPONENTS AND POLYNOMIALS Polynomial long division: Problem type 1 Divide: (12x2+29x+15)+ (3x+5) Your answer should give the quotient and the remainder: Quotient: Remainder:


Answers
Long Division of Polynomials Find the quotient and remainder using long division. $$ \frac{x^{4}-3 x^{3}+x-2}{x^{2}-5 x+1} $$
We're finding the oceans on the remainder. For X cubed plus two x purse one divided by X squared minus X Christie Applying on division in which we have our X squared minus X plus tree being over the visor On day X cubed push to express one *** dividend We divide the fresh term over dividend by the fresh term off or the rise Oh, that gives us X multiplying in a fresh time before divisor x squared minus x. The story by X gives us ex cute minus X grade. Thus the X and we're subtracting on this excuses do X good and negative X bringing our plus one done. Repeat the procedure in which we divide the fresh term offer diffident by the fresh team. Afford the riser that gives us plus one multiplying X grade minus X Christie by one gives us ex GERD minus X history. I raise attracting all the fish which gives us you Andi. Thank you too to we're cushion you. He called you x close One on a remainder is equivalent to negative two. However ah, there's a standard way to represent her on so so or until can be written as que picks with are of X over here, Rex When cure vexes Riku Shinde are zari mender on dfx is o r your visor therefore x cubed push two x plus one all over X good minus x Her story is equal to cure of X, which is X plus one post a remainder over divisor, which is negative two over ex grade minus X Christie
Evaluating X cubed plus two x squared minus X purse. One over X plus three hair We're dividing O R X cubed plus two X squared Minus experts one by express tree Using long division, we could have used synthetic division as well, but we're required to use long to read own shoe writing or experts city as or divisor and X cubed plus two X grade minus X plus one as or dividend. We divide the first term off or dividend by the first time off. Devise a way that gives exc red multiplying. Expressed three by X squared gives x cubed us the ex grade and we're subjecting all of that, which gives us zero. And now you two x squared. We preach in the process dividing Oh, we are also supposed Teoh carry or negative X tone repeating the process dividing the first term off or a dividend which is negative x squared by the first time offer divisor x We get negative X multiplying experts Story by Native X gives us negative X cred minus lyrics and we're subtracting all of that which results ng zero and you X bringing or one going. We repeat the process in which we divide the first time or for dividend by the press turmoil for the adviser, which gives Plus two multiplying or a divisive, explicit E by two years you x for six and we're subtracting all of the which gives us negative. So the questions specifically access to determining or a cushion which is cure Vicks, Andi or dividend under or remained? Oh, I should say so. Our quotient is excreted minus X plus two on door remainder. Our mix is equivalent to negative five. We normally express the division off you vics. Bye, dear Ricks, as he cautioned us. The remainder are Vicks over D of X, or divisor, which is equal to ex grade minus X plus two minus five over or which is expressed E.
You're fighting for X cube because two X squared minus two x minus tree by two x close one. We're going to use Long division where we have two x Plus one being or divisor on four x cubed plus to exclude minus two x minus tree as our dividend inviting for X Cubed by two x gives us two X squared multi playing to express one by two X squared gives us for X cubed plus two x squared and we're subjecting of that. But to use this with zero carrying or negative two X tone, we repeat the process where we divide or different and by the first time before divisor e results off Negative two x Being divided by two x is negative one multiplying two experts one by negative one gives negative two X minus one So we're subtracting that that results in Do you on positive one. Trying dung or no, you to three. We get negative too, when we add negative 321 I didn t find over cautioned it's two x squared minus one on a remainder is equal to thank you too to But we have ah standardize the way of writing or answer you vics divided by D of X is equal to cure Vex plus our rex over or divisor D of X, therefore minus two. My honesty, you're right. Do it. This one is equal to cure X two X squared minus one. Those are Vicks Negative to over d'Oex two X purse one you or until is two x spared minus one, minus two over to it.
We're finding the quotient on and the remainder are two X racing. The incredible minus seven X rays to the fourth hole, minus 13 over four squared minus six X plus eight year We write or new marital or directing this case so that it has the pose of extra piecing Iowans. So we have to X Ray City for four minus seven eggs. Mr the Fourth Hole US Dear X Cubed Bush Your X squared thus Dear X minus 13. I'm not all over or X squared minus six X plus eight Setting up or a long division with or X squared minus six x less age as or divisor on to X rays to be free full When I seven x ray ct Forceful watch here. It's cute. This year x squared was your ex languish 13 We first by the first term of were diverted by the first term before divisor Which gives us Uh huh. Ex cute multiplying already riser by 1/2 x cubed. There's this you X rays to the fickle minus three extras to the four hole Uh, it's X cubed. I wish attracting that I give this gear negative. Who are expiration you Forceful minus eight x cubed herring are is you. Let's do times x grade. You're writing the first term before. Do be done. No. You to four times X rays to be hopeful by you first heard off four You guys. Well, that results in native to X squared Well to Pang or the adviser by negative X squared usual or ex Well, they get you who are X squared there's