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Use long division to find (2x^3 - 7x^2 + 7x - 2) ÷ (x + 7)​

User FreeVice
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1 Answer

6 votes

Step 1: Multiply (x+7) by 2

2x^3 + 14x^2 + 14x - 4

Step 2: Subtract this expression from the original expression

2x^3 - 7x^2 + 7x - 2 - 2x^3 - 14x^2 - 14x + 4

Step 3: Simplify

-7x^2 + 21x - 6

Step 4: Divide (x+7) into this expression

-7x^2 + 21x - 6 ÷ (x + 7)

Step 5: Simplify to get the quotient

-7x + 2

Step 6: Find the remainder

-14

User Al
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