Synthetic Division - No Remainders

Hedayat was setting up the following synthetic division problem. What is the correct way to set up the problem? 
 $\left(7h^3-17h^2+9h+1\right)\ \div\left(h-1\right)$  

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Arwen is solving the problem below. She set up and solved the synthetic division problem correctly (look at picture). What is the proper way for her to write the answer? $\left(2x^4-9x^3-21x^2+88x+48\right)\div\left(x-4\right)$  

•  $2x^3+x^2+25x+12$  

•  $2x^4+x^3+25x^2+12x\ +0$  

•  $2x^3-x^2-25x-12$  

•  $2x^4-x^3-25x^2-12x\ -0$  

Mr. Dye was trying to do synthetic division. Looking at his work, what mistake did he make? Silly Mr. Dye

• He did nothing wrong. That is correct.

• He added the numbers when he should have subtracted.

• $-5$ should be the number in the box.

• He put the coefficient numbers in the incorrect order.

Which is NOT true about synthetic division?

• The number that goes in the box is the opposite of the factor you are dividing by.

• If the last number in your answer is 0 that means there is no remainder.

• The answer to any division problem is called the quotient.

• If your answer has any negative numbers in it, then it is incorrect.

 $\left(x^3-10x^2+27x-18\right)\div\left(x-3\right)\$  

•  $x^2-7x+6$  

•  $x^2+7x\ -6$  

•  $x^2-3x\ +\ 9$  

•  $x^2+3x\ -\ 9$  

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

 $\left(8b^3-26b^2-15b-36\right)\div\left(b-4\right)$  

•  $8b^2-4b+6$  

•  $8b^2+6b+9$  

•  $b^2+6b-9$  

•  $2b^2-5b-8$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

 $\left(x^3-x^2-x-2\right)\div\left(x-2\right)$  

•  $x^2-5x-4$  

•  $x^2+2x+6$  

•  $x^2+x+1$  

•  $2x^2+x+2$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

 $\left(4n^4+34n^3+37n^2-33n+14\right)\div\left(n+7\right)$  

•  $4n^3+4n^2-4n+2$  

•  $n^3+2n^2-5n+2$  

•  $4n^3+n^2-n+2$  

•  $4n^3+6n^2-5n+2$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

 $\left(7k^4+19k^3+3k^2+24k-9\right)\div\left(k+3\right)$  

•  $7k^3+12k^2+6k-1$  

•  $7k^3+2k^2-9k+3$  

•  $7k^3-k^2+k-11$  

•  $7k^3-2k^2+9k-3$  

Tags

CCSS.HSA.APR.D.6

 $\left(x^4-2x^3-83x^2+29x+10\right)\div\left(x-10\right)$  

•  $4x^3+2x^2-x-11$  

•  $x^3+6x^2-4x-9$  

•  $x^3+8x^2-3x-1$  

•  $x^3+8x^2-7x-6$  

Tags

CCSS.HSA.APR.D.6