To divide (x^2 - 10x + 30) by (x - 5), you can use long division. Here's the step-by-step process:
Step 1: Divide the first term of the numerator by the first term of the denominator.
x^2 / x = x
Step 2: Multiply x by the denominator and write the result below the numerator.
x(x - 5) = x^2 - 5x
Step 3: Subtract the result from step 2 from the numerator.
(x^2 - 10x + 30) - (x^2 - 5x) = -5x + 30
Step 4: Bring down the next term from the numerator.
-5x + 30 --> -5x
Step 5: Repeat steps 1-4 until there are no more terms to bring down.
Step 6: Divide the last term of the new numerator by the first term of the denominator.
-5x / x = -5
Step 7: Multiply -5 by the denominator and write the result below the last term of the numerator.
-5(x - 5) = -5x + 25
Step 8: Subtract the result from step 7 from the last term of the new numerator.
(-5x + 30) - (-5x + 25) = 5
Therefore, (x^2 - 10x + 30) divided by (x - 5) equals x - 5 + (5 / (x - 5)).
Dividing Polynomials connexus 7th grade algebra 1
1) divide: (x^2-10x+30) divided by (x-5)
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