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Question
Add the following polynomials and find the degree of the resultant polynomial
f(x) = 16x4 – 5x2 + 9, g(x) = −6x3 + 7x – 15
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Solution
f(x) + g(x) = 16x4 – 5x2 + 9 – 6x3 + 7x – 15
= 16x4 – 6x3 – 5x2 + 7x + 9 – 15
= 16x4 – 6x3 – 5x2 + 7x – 6
The degree of the polynomial is 4.
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