Answer :
Final answer:
To divide the polynomial 62³ - 11x² - 26x + 15 by 3x + 5 using long division, divide each term one by one and subtract the product from the dividend. The final result is the quotient.
Explanation:
To divide the polynomial 62³ - 11x² - 26x + 15 by 3x + 5 using long division, we start by dividing the first term of the dividend by the first term of the divisor. In this case, 62³ divided by 3x gives us 20². We then multiply the divisor by this quotient, which is 20² * (3x + 5). Subtract this result from the dividend to get the new dividend.
Next, we bring down the next term, -11x², and repeat the process. We divide -11x² by 3x to get -3x. Multiply the divisor by this quotient, which is -3x * (3x + 5), and subtract it from the new dividend. Continue this process until all terms have been divided.
The final result is the quotient, which is 20² - 3x - 13. Therefore, the result of dividing 62³ - 11x² - 26x + 15 by 3x + 5 is 20² - 3x - 13.
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