Complete the given operation and write the expression in standard form.

Step-by-step explanation:

Using synthetic division of polynomials 3x⁴-2x²+4x+9÷x+2. Rewrite the dividend as 3x⁴+0x³-2x²+4x+9

2 | 3 0 -2 4 9

| 6 -12 20 -32

3 -6 10 -16 41

So the quotient is 3x³-6x²+10x-16 with a remainder of 41

Therefore, 3x³-6x²+10x-16+(41/x+2)

step-by-step explanation:

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.