Q. Divide the polynomials.Your answer should be a polynomial.x−3x2−7x+12=
Set up division: Set up the long division.We will use long division to divide the polynomial x2−7x+12 by x−3.
Divide first terms: Divide the first term of the dividend by the first term of the divisor.Divide x2 by x to get x. This will be the first term of the quotient.
Multiply and subtract: Multiply the divisor by the first term of the quotient and subtract from the dividend.Multiply x−3 by x to get x2−3x. Subtract this from x2−7x+12 to get a new dividend of −4x+12.
Divide new dividend: Divide the new dividend by the first term of the divisor.Divide −4x by x to get −4. This will be the next term of the quotient.
Multiply and subtract: Multiply the divisor by the new term of the quotient and subtract from the new dividend.Multiply x−3 by −4 to get −4x+12. Subtract this from −4x+12 to get a new dividend of 0.
Division complete: Since the new dividend is 0, the division is complete.The quotient is x−4 and there is no remainder.
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