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Barrelracing
 one year ago
What is the quotient of (5x2 − 22x + 8) ÷ (x − 4)?
5x + 2
5x  2
2x + 5
2x  5
Barrelracing
 one year ago
What is the quotient of (5x2 − 22x + 8) ÷ (x − 4)? 5x + 2 5x  2 2x + 5 2x  5

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay so there are two ways to solve this question. One way is polynomial long division: dw:1439325940344:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0From here you need to multiply the first term (in x4) by something to get the first term inside the box. So: dw:1439326026385:dw Then you multiply the second term (in x4) by the number up top and put it after 5x^2. Be sure to mind that  symbol I circled. 22x  (20x) is the same as 22x + 20x.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Uh sorry about the last drawing that should be 2x. Anyways, from here you need to do the same thing again:dw:1439326443074:dw And you can see that your answer is 5x2 or B

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The other way to solve this is much quicker and is called synthetic division, where you need to take the zero of x4 (4) and do the following with it: dw:1439326764993:dw What I did was remove all the variables from 5x^2  22x + 8 and put it above a line.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Next, you need to drag the four down. Then multiply by 5. Then do 22 + 20, getting 2. Then multiply that by 4 and get 8. Add 8 & 8 to get zero. Here is a visual representation: dw:1439327021055:dw dw:1439327080192:dw dw:1439327111855:dw From here you need to put each variable back, except staggered by one. So the original was \[5x^2 22x +8\] but the second should be \[5x  2\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That was a lot but I hope it helped :)
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