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Allisa [31]
3 years ago
8

What is the coefficient of the second term of the trinomial?

Mathematics
2 answers:
marin [14]3 years ago
7 0
The coefficient of the second term is 18.

What you do is you FOIL the terms:
(3x+3)(3x+3)\\ Multiply\ the\ first\ terms\ together:\\ 3x*3x=9x^{2}\\ Then\ the\ outer\ terms:\\ 3x*3=9x\\ Next,\ the\ inner\ terms:\\ 3x*3=9x\\ Finally,\ multiply\ the\ last\ terms:\\ 3*3=9\\ Putting\ the\ terms\ together:\\ 9x^{2}+9x+9x+9=9x^{2}+18x+9\\\\ Since\ (3x+3)^{2}=9x^{2}+Bx+9=9x^{2}+18x+9,\ then \ B=18.
pishuonlain [190]3 years ago
7 0
Answer:  " 18 " .
_______________________
Explanation:
_____________________
  (3x + 3)²
 
 =   (3x + 3) (3x + 3)  ;
 
 =  Using "FOIL" method:  "First, Outer, Inner, and Last" terms ;
_____________________________________________________
First terms:  3x* 3x = 9x² ;
Outer terms:  3x * 3 = 9x ;
Inner terms:  3 * 3x = 9x ;
Last terms:   3 * 3 = 9 ;
________________________________
   So,  we have:  " 9x² + 9x + 9x + 9" ;
______________________________
      Combine the "like forms" to simplify further:
_______________________________________
          The "like terms" are:  + 9x + 9x = 18x ; 
_______________________________________
 Rewrite the expression:  
_______________________________________
          " 9x²  + 18x +  9 ";
_________________________________________
We want to find the coefficient of the second term in the trinomial given:
_________________________________________
          " 9x² + <span /><em>B</em>x + 9 "  ; 
_________________________________________
The coefficient of the second term in this polynomial is: "<em>B</em>" ;
_________________________________________
                <em>B</em><em /> = 18 .
_________________________________________
The answer is:  " 18 " .
_________________________________________
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