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What is the degree of the polynomial (x^4+ax^7+bx+c)(x^3+dx^2+e)(x+f)(x^3-8x^2+7x-1), where letters a through f are all nonzero constants?

 May 30, 2021
 #1
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The degree is 9.

 May 30, 2021
 #2
avatar+115963 
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take the terms from each bracket with the highest power and multiply them together.

the degree is the power of the answer.

 May 31, 2021
 #3
avatar+35345 
+1

(x^4+ax^7+bx+c)(x^3+dx^2+e)(x+f)(x^3-8x^2+7x-1),

 

x^4 * x^3 * x^3   = x4+3+3    

 

      The constants  a-f  do nothing to change the degree of the polynomial

 May 31, 2021

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