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What is the coefficient of the second term of the trinomial?
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What is the coefficient of the second term of the trinomial?
asked
Nov 21, 2018
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What is the coefficient of the second term of the trinomial?
Mathematics
high-school
Federico Piragua
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Federico Piragua
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2
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4
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Answer: "
18
" .
_______________________
Step-by-step explanation:
_____________________
(3x + 3)²
= (3x + 3) (3x + 3) ;
= Using "FOIL" method: "First, Outer, Inner, and Last" terms ;
_____________________________________________________
F
irst terms: 3x* 3x = 9x² ;
O
uter terms: 3x * 3 = 9x ;
I
nner terms: 3 * 3x = 9x ;
L
ast 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 +
B
x + 9 " ;
_________________________________________
The coefficient of the second term in this polynomial is: "
B
" ;
_________________________________________
B
= 18 .
_________________________________________
The answer is
: "
18
" .
_________________________________________
Jfenwick
answered
Nov 23, 2018
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Jfenwick
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3
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The coefficient of the second term is 18.
What you do is you FOIL the terms:
Todd Lehman
answered
Nov 26, 2018
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Todd Lehman
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