Check Your Understanding - Long Division Rafael Mestrener DIRECTIONS: Use this information to answer Parts A and B. Consider the problem: (3x^3-x^2+5)div (x^2-4x+1) Part A Find the quotient and remainder of (3x^3-x^2+5)div (x^2-4x+1) Enter the correct value in the box. Give your answer in the form dividend =(divisor)(quotient)+remainder. square

To find the quotient and remainder of , we can use 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 quotient obtained in step 1. Step 3: Subtract the result from step 2 from the dividend. Step 4: Repeat steps 1-3 with the new dividend obtained in step 3.Divide the leading term of the new dividend by the leading term of the divisor. Multiply the divisor by the quotient obtained in step 1. Subtract the result from step 2 from the new dividend. Step 5: Since the degree of the new dividend (41x-6) is less than the degree of the divisor (x^{2}-4x+1), we stop here.Therefore, the quotient is 3x + 11 and the remainder is 41x - 6.So, the answer is: