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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Tags

CCSS.HSA.APR.D.6

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? $\left(2x^4-9x^3-21x^2+88x+48\right)\div\left(x-4\right)$  

•  $2x^3+x^2+25x+12$  

•  $2x^4+x^3+25x^2+12x\ +0$  

•  $2x^3-x^2-25x-12$  

•  $2x^4-x^3-25x^2-12x\ -0$  

Tags

CCSS.HSA.APR.D.6

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.

Tags

CCSS.HSA.APR.D.6

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.

Tags

CCSS.HSA.APR.D.6

 $\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.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.D.6

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

•  $x^2-5x-4$  

•  $x^2+2x+6$  

•  $x^2+x+1$  

•  $2x^2+x+2$  

Tags

CCSS.HSA.APR.D.6

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

•  $4n^3+4n^2-4n+2$  

•  $n^3+2n^2-5n+2$  

•  $4n^3+n^2-n+2$  

•  $4n^3+6n^2-5n+2$  

Tags

CCSS.HSA.APR.D.6

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

•  $7k^3+12k^2+6k-1$  

•  $7k^3+2k^2-9k+3$  

•  $7k^3-k^2+k-11$  

•  $7k^3-2k^2+9k-3$  

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