Barrelracing
  • Barrelracing
What is the quotient of (5x2 − 22x + 8) ÷ (x − 4)? 5x + 2 5x - 2 2x + 5 2x - 5
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Okay so there are two ways to solve this question. One way is polynomial long division: |dw:1439325940344:dw|
anonymous
  • anonymous
From here you need to multiply the first term (in x-4) by something to get the first term inside the box. So: |dw:1439326026385:dw| Then you multiply the second term (in x-4) 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
  • anonymous
Uh 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 5x-2 or B

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anonymous
  • anonymous
The other way to solve this is much quicker and is called synthetic division, where you need to take the zero of x-4 (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
  • anonymous
Next, 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
  • anonymous
That was a lot but I hope it helped :)

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