# What polynomial yields a quotient of #2x-3# and a remainder of 3 when it divides #2x^2-7x+9#?

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The Dividend=(The Divisor)(The Quotient)+The Remainder.

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The polynomial that yields a quotient of 2x-3 and a remainder of 3 when it divides 2x^2-7x+9 is 2x^2-7x+9 = (2x-3)(x-2) + 3.

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