Question

divide (x^2 - 10x+30÷(x-6

Answer 1

[AI-generated answer — Bot GPT 3.5]

To divide the polynomial (x^2 - 10x + 30) by (x - 6), we can use long division. Here are the steps:

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(x - 6) | x^2 - 10x + 30

Step 1: Divide x by x, which gives us x.
x(x - 6) = x^2 - 6x

Step 2: Multiply (x - 6) by x, which gives us -6x.
_________________________
x - 6 | x^2 - 10x + 30
- (x^2 - 6x)
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-4x + 30

Step 3: Bring down the 30.
_________________________
x - 6 | x^2 - 10x + 30
- (x^2 - 6x)
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-4x + 30
-(-4x + 24)
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6

Step 4: There are no more terms to bring down.

The remainder is 6. Therefore, the division result is:

(x^2 - 10x + 30) / (x - 6) = x - 4 + (6 / (x - 6))