Question

(b) Write your answer in the fol (5x^(4)+14x^(3)+13x+12)/(x+3)

Answer 1

To divide the polynomial 5x^4 + 14x^3 + 13x + 12 by x + 3, you can use polynomial long division.

Step-by-step explanation:

To divide the polynomial 5x4 + 14x3 + 13x + 12 by x + 3, you can use polynomial long division. Here are the steps:

1. Start by dividing the highest degree term in the polynomial by the highest degree term in the divisor. In this case, divide 5x4 by x to get 5x3.
2. Multiply the divisor, x + 3, by the quotient you just found, 5x3, and subtract it from the original polynomial. This will give you a new polynomial.
3. Repeat steps 1 and 2 with the new polynomial until the degree of the new polynomial is less than the degree of the divisor.

Using polynomial long division, the result of dividing 5x4 + 14x3 + 13x + 12 by x + 3 is 5x3 - 16x2 + 43x - 117. So, the quotient is 5x3 - 16x2 + 43x - 117 and there is no remainder.