Finding the Quotient
Apply polynomial long division to divide a two-term polynomial by a binomial whose leading coefficient is not , utilizing placeholders for multiple missing degree terms: .
Step 1 — Insert placeholders. The dividend jumps from degree 3 directly to degree 0, meaning it is missing both the and terms. Rewrite it with placeholders: . Set this up under the division bracket with outside.
Step 2 — Divide by . The result is . Write in the quotient. Multiply . Subtract . Bring down to form .
Step 3 — Divide by . The result is . Write in the quotient. Multiply . Subtract . Bring down to form .
Step 4 — Divide by . The result is . Write in the quotient. Multiply . Subtract .
The quotient is .
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Finding the Quotient
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Finding the Quotient
Finding the Quotient
Finding the Quotient
Finding the Quotient
Finding the Quotient
Finding the Quotient
Learn After
When performing the polynomial long division of by , what is the first term of the resulting quotient?
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