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Answer :
Final answer:
To find the quotient and remainder of (5x^4-3x^2-4x+6) divided by (x-7), you can use polynomial long division.
Explanation:
The quotient and remainder of (5x^4-3x^2-4x+6) divided by (x-7) can be found using polynomial long division. Here are the steps:
- Divide the first term of the dividend (5x^4) by the first term of the divisor (x) to get the first term of the quotient (5x^3).
- Multiply the entire divisor (x-7) by the first term of the quotient (5x^3) and subtract the result from the dividend (5x^4-3x^2-4x+6).
- Repeat the process with the new dividend and divisor, calculating the next term of the quotient and subtracting the result from the new dividend.
- Continue this process until the degree of the new dividend is less than the degree of the divisor.
The quotient is 5x^3+35x^2+242x+1690 and the remainder is 11,836.
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