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1) The degree of the polynomial p(x) is 11, and the degree of the polynomial q(x) is 7. Find all possible degrees of the polynomial p(x)+q(x)

 

2) 

Let f(x)=x^4- 3x^2+2 and g(x)=2x^4-6x^2+2x-1. What is the degree of f(x)*g(x)?

 

Thanks!

 Apr 9, 2019
 #1
avatar+111437 
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1. Degree 11 + Degree 7   will result in a polynomial of Degree 11

 

2.  We only  need to multiply the  terms of each polynomial that have the highest degree...so.....

 

x^4 *  2x^4   =   2x^8    .....so....degree 8

 

 

cool cool cool

 Apr 9, 2019

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