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Question
Subtract the second polynomial from the first polynomial and find the degree of the resultant polynomial
f(y) = 6y2 – 7y + 2, g(y) = 7y + y3
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Solution
f(y) – g(y) = 6y2 – 7y + 2 – (7y + y3)
= 6y2 – 7y + 2 – 7y – y3
= – y3 + 6y2 – 7y – 7y + 2
= – y3 + 6y2 – 14y + 2
The degree of the polynomial is 3.
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