Use polynomial long division to rewrite the following fraction in the form q(x)+r(x)d(x), where d(x) is the denominator of the original fraction, q(x) is the quotient, and r(x) is the remainder.
2x^2+8x-12/x+1

[tex] \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2x +6 \\ x + 1 \sqrt{ {2x}^{2} + 8x - 12} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: {2x}^{2} + 2x \\ \: \: \: \: \: \: \: \: \: \: \: \frac{ \: - \: \: \: \: \: \: - \: \: \: \: \: }{} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 6x - 12 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 6x + 1 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{ - \: \: - \: \: \: \: \: }{} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - 13[/tex]

q(x)+r(x)d(x)

= 2x + 6 + (-13) * x + 1

= 2x + 6 -13 * x + 1

= 2x + 6 - 13x + 1

= (- 11x + 7)

Use polynomial long division to rewrite the following fraction in the form q(x)+r(x)d(x), where d(x) is the denominator of the original fraction, q(x) is the quotient, and r(x) is the remainder. 2x^2+8x-12/x+1

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Use polynomial long division to rewrite the following fraction in the form q(x)+r(x)d(x), where d(x) is the denominator of the original fraction, q(x) is the quotient, and r(x) is the remainder.
2x^2+8x-12/x+1