Q:

What is the remainder when 3x3-2x2+4x-3 is divided by x2+3x+3 ? 30 3x-11 28x-36 28x+30

What is the remainder when 3x3-2x2+4x-3 is divided by x2+3x+3 ? 30 3x-11 28x-36 28x+30

Accepted Solution

A:
Divide using long division: standard: \dfrac{28 x + 30}{x^{2} + 3 x + 3} + 3 x - 11quotient: 3 x - 11remainder: 28 x + 30Divide using long division: {"divisor": "x^{2} + 3 x + 3", "dividend": "3 x^{3} - 2 x^{2} + 4 x - 3", "quotient": "3 x - 11", "remainder": "28 x + 30", "sub_divs": [{"val": "3 x", "sub_exp": "3 x^{3} + 9 x^{2} + 9 x", "remainder": "- 11 x^{2} - 5 x - 3"}, {"val": "-11", "sub_exp": "- 11 x^{2} - 33 x - 33", "remainder": "28 x + 30"}]}Answer: