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avatar+1768 

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.

 Feb 6, 2024
 #1
avatar+129895 
+1

\( f(x) + b \cdot g(x) \)

 

If b = 0 .....the smallest possible degree is  just  5

 

cool cool cool

 Feb 6, 2024

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