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Let b be a constant. What is the smallest possible degree of the polynomial f(x) + b \cdot g(x), where f(x) = 2x^5 - 6x^4 - 4x^3 + 12x^2 + 7x - 5 and g(x) = x^6 - 17x^5 + 2x^4 + 6x^3 + 11x^2 - 8x + 1.

 Aug 14, 2024
 #1
avatar+1858 
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We must take the highest powers and add them together. 

\(5+6=11\)

 

So the answer is 11. 

 

Thanks! :)

 Aug 14, 2024
edited by NotThatSmart  Aug 14, 2024

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