Question

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

Answer 1

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)