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Divide the polynomials.
Your answer should be a polynomial.

(x^(2)-7x+12)/(x-3)=

Divide the polynomials.\newlineYour answer should be a polynomial.\newlinex27x+12x3= \frac{x^{2}-7 x+12}{x-3}=

Full solution

Q. Divide the polynomials.\newlineYour answer should be a polynomial.\newlinex27x+12x3= \frac{x^{2}-7 x+12}{x-3}=
  1. Set up division: Set up the long division.\newlineWe will use long division to divide the polynomial x27x+12x^2 - 7x + 12 by x3x - 3.
  2. Divide first terms: Divide the first term of the dividend by the first term of the divisor.\newlineDivide x2x^2 by xx to get xx. This will be the first term of the quotient.
  3. Multiply and subtract: Multiply the divisor by the first term of the quotient and subtract from the dividend.\newlineMultiply x3x - 3 by xx to get x23xx^2 - 3x. Subtract this from x27x+12x^2 - 7x + 12 to get a new dividend of 4x+12-4x + 12.
  4. Divide new dividend: Divide the new dividend by the first term of the divisor.\newlineDivide 4x-4x by xx to get 4-4. This will be the next term of the quotient.
  5. Multiply and subtract: Multiply the divisor by the new term of the quotient and subtract from the new dividend.\newlineMultiply x3x - 3 by 4-4 to get 4x+12-4x + 12. Subtract this from 4x+12-4x + 12 to get a new dividend of 00.
  6. Division complete: Since the new dividend is 00, the division is complete.\newlineThe quotient is x4x - 4 and there is no remainder.