Question
Write a seventh-degree polynomial in $y$ in descending order that lacks fifth-, third-, and second-degree terms.
Step 1
A seventh-degree polynomial in $y$ in descending order would look like this: $$P(y) = ay^7 + by^6 + cy^5 + dy^4 + ey^3 + fy^2 + gy + h$$ Since the polynomial lacks fifth-, third-, and second-degree terms, we can remove those terms: Show more…
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