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Use long division to find the quotient below. Enter your answer as a polynomial in descending order (x^2 + 14x + 48)/ (x + 8)
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Is it x+6?
yes
this can be done easily by noting that x^2+14x+48 = x^2 + 6x+8x+48 = x(x+6)+8(x+6) = (x+8)(x+6) so (x^2+14x+48) / (x+8) = (x+8)(x+6) / (x+8) = (x+6). since x+8 cancels out in the numerator and denominator. hence x+6 is the quotient
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