Question

6x³+5x²+19x+8-:3x+1 Divide and give Quotient & Remainder.

Answer 1

Polynomial long division is used to divide 6x³ + 5x² + 19x + 8 by 3x + 1, resulting in the quotient 2x² - x + 4 and a remainder of 0.

Step-by-step explanation:

To divide the polynomial 6x³ + 5x² + 19x + 8 by 3x + 1, we use polynomial long division.

1. Divide the first term of the dividend, 6x³, by the first term of the divisor, 3x, to get 2x². This is the first term of the quotient.
2. Multiply the divisor, 3x + 1, by 2x² and subtract the result from the original polynomial.
3. Repeat the process with the new polynomial that is formed after the subtraction.
4. Continue until the degree of the remainder is less than the degree of the divisor. The result at this stage is the actual remainder.

Following the steps as described, the Quotient would be 2x² - x + 4 and the remainder would be 0.