Q:

Using synthetic division, find 2x4+4x3+2x2+8x+8 / x+2. A. 2x3+2x+4 B. 2x4+2x2+4x C. 2x3+2x+4+ 1/x+2 D. 2x3+2x2+4

Using synthetic division, find 2x4+4x3+2x2+8x+8 / x+2. A. 2x3+2x+4 B. 2x4+2x2+4x C. 2x3+2x+4+ 1/x+2 D. 2x3+2x2+4

Accepted Solution

A:
Divide using long division: standard: 2 x^{3} + 2 x + 4quotient: 2 x^{3} + 2 x + 4remainder: 0Divide using long division: {"divisor": "x + 2", "dividend": "2 x^{4} + 4 x^{3} + 2 x^{2} + 8 x + 8", "quotient": "2 x^{3} + 2 x + 4", "remainder": "0", "sub_divs": [{"val": "2 x^{3}", "sub_exp": "2 x^{4} + 4 x^{3}", "remainder": "2 x^{2} + 8 x + 8"}, {"val": "2 x", "sub_exp": "2 x^{2} + 4 x", "remainder": "4 x + 8"}, {"val": "4", "sub_exp": "4 x + 8", "remainder": "0"}]}Answer: