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What is the remainder of the quotient y(32? + Tr 20) * (I +5)...

Question

What is the remainder of the quotient y(32? + Tr 20) * (I +5)

What is the remainder of the quotient y (32? + Tr 20) * (I +5)



Answers

Find the quotient and remainder using synthetic division.
$\frac{4 x^{2}-3}{x+5}$

If we know that the try no meal, x squared minus x minus 20 is the same thing as the product of the factors x minus five times X plus four, then we would know that if we divided expert minus x minus 25 x minus five, we'd get the other factor x plus four. That would be the quotation. The remainder, it would go in perfectly. The remainder would be zero.

We have 18 number problem and which we need to divide. Three Exited about four in minus five X Q minus 20 X minus five by X Squared plus X plus three. So this is three x four. This is excess square, so we need to multiply them by three x Esquire So this will be three x rated about four Bless three x Q. Bless my next square. Give minus minus and minus. Get canceled out. Minus eight X cubed minus nine X squared minus 20 x So we need to Right minus eight x So my a eight x cubed minus eight. Excess squad minus 24 X Let us subject so this will get cancelled out. So minus X squared Bless for X and A minds five remaining over a year. Okay, so we'll have to We'll bury this man today so we have to multiply with minus one. This will become minus X squared minus X minus tree. Bless less and less five X minus two. So this is the the remainder, and this is our quotient. So we re writing, cautioned lt X squared minus eight X minds one course sent the excess squad minus eight X minus one and a mender No. Five X minus two. So these are the answers

We have traditional problem. And this We need to use synthetic division to divide experiments for restless for my X minus three. And to find Cho sent in the remainder. So let us right here. The coefficient of X square. That is one proficient off act that in minus five, Coalition and constant term for this is X minus trees. X Ministry called zero. So X equals three senators. Right, three Here. Okay, so when will be here now? One multiplied by three is three. Let us add them up. That it minus two. Train to minus two. Here we hit. We have to write minus six. So minus two. So this will be the remainder. And the question will be This will be the coffin and the coefficient of X. This perimeter constant term. So we can say that who sent is X minus tool And the men days minus two. So this is dance. Thank you so much.

We have 24 number problem in which we need to divide X squared minus five X plus four by X minus one. Using something synthetic division. So let us ride coefficient of X square here when coefficient off X. That is minus five in the constant term. And here we should right X minus 10 So x equal to one. We should write one here. Okay, So let us just right to one one into one is one. So let's add them up. Minus for one into minus four years and minus four. So this will be zero. So the sentimental will be zero. So quotient Q x will be This is the coefficient of X so X minus four and the remainder will be zero. Thank you so much.


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