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Divide. If there is a remainder, include it as a simplified fraction.______
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Q. Divide. If there is a remainder, include it as a simplified fraction.______
- Divide leading terms: We will use polynomial long division to divide by . First, we divide the leading term of the dividend, , by the leading term of the divisor, , to get the first term of the quotient.
- Multiply and subtract: We multiply the entire divisor by the first term of the quotient and subtract the result from the dividend.Then we subtract this from the dividend:
- Divide new polynomial: Next, we divide the leading term of the new polynomial, , by the leading term of the divisor, , to get the next term of the quotient.
- Multiply and subtract: We multiply the entire divisor by the second term of the quotient and subtract the result from the new polynomial.(-2g) \cdot (g - 3) = -2g^2 + 6g\(\newlineThen we subtract this from the new polynomial:\$(-2g^2 + 6g) - (-2g^2 + 6g) = 0\)
- Complete division process: Since we have no remainder, the division process is complete. The quotient is the sum of the terms we found: \(6g^2 - 2g\).
