Question

(6x^2+40x+29)/(x+6)  what is the Quotient and Remainder

Answer 1

To find the quotient and remainder of (6x^2+40x+29)/(x+6), long division is used. The quotient and remainder represent the result of the division where the remainder has a degree less than the divisor.

Step-by-step explanation:

To find the quotient and remainder of the division (6x^2+40x+29)/(x+6), we use long division or polynomial division. Here are the steps:

1. Divide the first term of the numerator by the first term of the denominator: 6x^2/x gives us 6x.
2. Multiply the entire denominator by this term and subtract the result from the numerator.
3. Repeat the process with the new, reduced numerator that is the result of the subtraction.
4. The process continues until the degree of the remainder is less than the degree of the divisor. The last non-zero remainder is the remainder of the division.

The result of the long division will be the quotient plus the remainder over the original divisor.

Answer 2

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