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What is the solution to the division (You can use long division or synthetic division.) (4x2 + 5x - 6) / (x + 2)

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Hello from MrBillDoesMath!

Answer:

4x - 3


Discussion:

Factor 4x^2+5x - 6 = (4 x - 3) (x + 2) => factor lhs

so

(4x2 + 5x - 6) / (x + 2) = (4x -3) (x + 2) / (x+2)

Cancel the common factor (x+2) to get

(4x2 + 5x - 6) / (x + 2) = 4x - 3


Thank you,

MrB

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