Question

EXPONENTS AND POLYNOMIALS Polynomial long division: Problem Divide. (x^(2)+9x+15)-:(x+3) Your answer should give the quotient and remainder

Answer 1

In this case, The quotient is x + 15/x and the remainder is 0.

Step-by-step explanation:

To divide the polynomial (x^2 + 9x + 15) by (x + 3) using long division, follow these steps:

Step 1: Divide the first term of the dividend (x^2) by the first term of the divisor (x). The result is x.

Step 2: Multiply the entire divisor (x + 3) by the quotient obtained in Step 1 (x). The product is (x^2 + 3x).

Step 3: Subtract the product obtained in Step 2 from the dividend (x^2 + 9x + 15). The result is (6x + 15).

Step 4: Bring down the next term from the dividend (-6x) to create the new dividend (6x + 15 - 6x = 15).

Step 5: Divide the first term of the new dividend (15) by the first term of the divisor (x). The result is 15/x.

Step 6: Multiply the entire divisor (x + 3) by the quotient obtained in Step 5 (15/x). The product is (15 + 45/x).

Step 7: Subtract the product obtained in Step 6 from the new dividend (15). The result is 0.

The quotient is x + 15/x and the remainder is 0.