16.9k views
5 votes
What is the coefficient of the second term of the trinomial?

What is the coefficient of the second term of the trinomial?-example-1

2 Answers

4 votes
Answer: " 18 " .
_______________________
Step-by-step 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 + Bx + 9 " ;
_________________________________________
The coefficient of the second term in this polynomial is: "B" ;
_________________________________________
B = 18 .
_________________________________________
The answer is: " 18 " .
_________________________________________
User Jfenwick
by
7.5k points
3 votes
The coefficient of the second term is 18.

What you do is you FOIL the terms:

image
User Todd Lehman
by
6.5k points