Problem
Next End of Semester Test: Algebra 2A 11 Select the correct answer. Using long division, what is the quotient of $3 x^{4}+20 x^{3}+14 x^{2}+17 x+30$ and $x+6$ ? A. $2 x^{3}+14 x^{2}+17 x+30$ B. $3 x^{2}+2 x+2$ C. $3 x^{3}+2 x^{2}+2 x+5$ D. $3 x^{3}-2 x^{2}+2 x-5$ Reset Next
Solution
Step 1 ：Perform long division of the given polynomial by the divisor:
Step 2 ：\(\frac{3x^{4}+20x^{3}+14x^{2}+17x+30}{x+6}\)
Step 3 ：Find the quotient:
Step 4 ：\(3x^{3}+2x^{2}+2x+5\)
Step 5 ：\(\boxed{3x^{3}+2x^{2}+2x+5}\)
