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Published byJoseph Houston Modified over 6 years ago

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Long division of polynomials works just like the long (numerical) division you did back in elementary school, except that now you're dividing with variables. Example: Divide x 2 – 9x – 10 by x + 1 Set up the problem like a long division problem Put the first variable from the outside (the divisor) into the first variable under the division sign

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Multiply the answer by the advisor and place the answer under the polynomial Subtract the two terms from the polynomial Bring down the constant and start the process all over again

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Put the first variable from the outside (the advisor) into the variable Multiply the answer by the divisor and place the answer under the polynomial Subtract and get a remainder of “ 0 ”

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When the remainder of the division problem is “0” that means that the divisor goes into the problem evenly and the answer is a factor of the problem So x-10 is a factor of the trinomial: x 2 – 9x – 10 because x+1 goes into the trinomial evenly The factors will be x+1 and x-10

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