How do you divide #(x^2+20x+5) / (x-4)#?
Quotient
Let's calculate the remainder and quotient using synthetic division.
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To divide (x^2+20x+5) by (x-4), you can use long division or synthetic division. Here is the solution using long division:
Step 1: Divide x^2 by x, which gives x. Write x above the line. Step 2: Multiply (x-4) by x, which gives x^2-4x. Subtract this from (x^2+20x+5) to get 24x+5. Write this below the line. Step 3: Bring down the next term, which is 24x. Step 4: Divide 24x by x, which gives 24. Write 24 above the line. Step 5: Multiply (x-4) by 24, which gives 24x-96. Subtract this from 24x+5 to get 101. Write this below the line. Step 6: Since there are no more terms to bring down, the division is complete. Step 7: The quotient is x+24 and the remainder is 101.
Therefore, (x^2+20x+5) divided by (x-4) equals x+24 with a remainder of 101.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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