Answer:
STEP 1: Consider both the leading terms of the dividend and divisor.
STEP 2: Divide the leading term of the dividend by the leading term of the divisor.
STEP 3: Place the partial quotient on top
.
STEP 4: Now take the partial quotient you placed on top, and distribute into the divisor.
STEP 5: Make sure to align them by similar terms.
STEP 6: Perform subtraction by switching the signs of the bottom polynomial.
STEP 7: Proceed with regular addition vertically. Notice that the first column from the left cancels each other out. Nice!
STEP 8: Carry down the next adjacent “unused” term of the dividend.
STEP 9: Next, look at the bottom polynomial, take its leading term and divide it by the leading term of the divisor.
STEP 10: Again, place the partial quotient on top.
STEP 11: Use the partial quotient that you put up, −7, and distribute into the divisor. Seeing a pattern now?
STEP 12: Place the product of −7 and the divisor below as the last line of polynomial entry.
STEP 13: Subtraction means you will switch the signs (in red).
STEP 14: Perform regular addition along the columns of similar terms
STEP 15: This is great because the remainder is zero. It means the divisor is a factor of the dividend.
The final answer is just the stuff on top of the division symbol.
Hope I helped
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