What is the quotient of (5x2 − 22x + 8) ÷ (x − 4)?
5x + 2
5x - 2
2x + 5
2x - 5
Stacey Warren - Expert brainly.com
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Okay so there are two ways to solve this question. One way is polynomial long division:
From here you need to multiply the first term (in x-4) by something to get the first term inside the box. So:
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.
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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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:
What I did was remove all the variables from 5x^2 - 22x + 8 and put it above a line.
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|
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 \[5x - 2\]