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If f(x) = -7x^7 + 3x^3 + x - 5, and g(x) is a polynomial such that the degree of f(x) + g(x) is 5, then what is the degree of g(x)?

 Mar 3, 2021
 #1
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g(x) must be of  degree 7 also to cancel out the f(x) degree 7   ....   like this

 

-7x7 + 3x^3 ......        +         7x7  +   5x5            =     5x^5  + 3x^3

 Mar 3, 2021

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