Question

the table represents the start of the division of 8x^4+2x^3-7x^2+3x-2 by the indicates divisor find the quotient

Answer 1

Thank you for asking this question. Here is your answer:

8x⁴ + 2x³ - 7x² + 3x - 2     4x² - x + 1/ 2x²

-8x⁴ + 2x³ - 2x²   / 4x³ - 9x² + 3x - 2

8x⁴ + 2x³ - 7x² + 3x - 2     4x² - x + 1/ 2x² + x

8x⁴ + 2x³ - 2x²          /    

4x³ - 9x² + 3x - 2

-4x³ +  x² -   x / - 8x² + 2x - 2

 8x⁴ + 2x³ - 7x² + 3x - 2     4x² - x + 1

-8x⁴ + 2x³ - 2x²                2x² + x - 2

4x³ - 9x² + 3x - 2

-4x³ +  x² -   x

- 8x² + 2x - 2

 8x²  - 2x + 2 =    0

We are left with 0 in the end and for this the quotient is 2x² + x - 2

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