6.1.5 Dividing Polynomials (continued) Example 3 Polynomial Long Division Use the following steps to divide polynomials using long division, as demonstrated by Prof. Burger in Example 3. 1. Write the binomial and the polynomial in long division form, with the expressions in standard form. 2. Divide the first term of the dividend by the first term of the divisor to get the first term of the quotient. 3. Multiply the first term of the quotient by the binomial divisor and place the product under the dividend, aligning like terms. 4. Subtract the product from the dividend. 5. Bring down the next term in the dividend. 6. Repeat Steps 2-5 as necessary until the difference is a 0 or until the degree of the remainder is less than the degree of the binomial.
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