look at the work shown for the division problem shown on the right.The remainder is ____

Answer:8Step-by-step explanation:Given the polynomial functionf(x) = 2x⁴-4x³-11x²+3x-6 divided by x+2We can use what is known as the remainder theorem to find the remainder.Since x+2 is a factor of the polynomial, we will equate it to zero to get the variable x as shownx+2 = 0x = -2Substituting x = -2 into the polynomial function:f(-2) = 2(-2)⁴-4(-2)³-11(-2)²+3(-2)-6f(-2) = 2(16)-4(-8)-11(4)-6-6f(-2) = 32+32-44-12f(-2) = 20-12f(-2) = 8Therefore, the remainder when the polynomial is divided by x+2 is 8.