( 3. )(20 c^3+22 c^2-7 c+7) div(5 c-2) 5 c-2 sqrt(20 c^3)+22 c^(2-7 c+)

To divide the polynomial by , we can use polynomial long division.Step 1: Divide the leading term of the dividend by the leading term of the divisor. Step 2: Multiply the divisor by the result from Step 1 and subtract it from the dividend.\((5c - 2) \cdot 4c^2 = 20c^3 - 8c^2\)\(20c^3 + 22c^2 - 7c + 7 - (20c^3 - 8c^2) = 30c^2 - 7c + 7\)Step 3: Repeat the process with the new dividend. Step 4: Multiply the divisor by the result from Step 3 and subtract it from the new dividend.\((5c - 2) \cdot 6c = 30c^2 - 12c\)\(30c^2 - 7c + 7 - (30c^2 - 12c) = 5c + 7\)Step 5: Repeat the process with the new dividend. Step 6: Multiply the divisor by the result from Step 5 and subtract it from the new dividend.\((5c - 2) \cdot 1 = 5c - 2\)\(5c + 7 - (5c - 2) = 9\)So, the quotient is and the remainder is .Therefore, the answer is: