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What polynomial, when divided by 5y, yields 6y² - 2y +6 as a quotient?

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Final answer:

To find the polynomial that, when divided by 5y, yields 6y² - 2y + 6 as a quotient, perform long division to determine the values of the coefficients.

Step-by-step explanation:

To find the polynomial that, when divided by 5y, yields 6y² - 2y + 6 as a quotient, we can set up a long division problem.

Let's say the polynomial is Ax³ + Bx² + Cx + D. We divide this polynomial by 5y and set the quotient equal to 6y² - 2y + 6.

By performing the long division, we can determine the values of A, B, C, and D, which will give us the desired quotient.

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