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lana66690 [7]
3 years ago
13

When the factors of a trinomial are (x+p) and (x-q) then the coeffcient of the x term in the trinomial is?

Mathematics
1 answer:
Tatiana [17]3 years ago
4 0
The coefficient is:  "1" .
____________________________________________________
          Note:  There is an "<u>implied coefficient</u>" of "1"; since "1",  multiplied by any value, is equal to that exact same value; by convention, we eliminate the "1" as a coefficient.
____________________________________
Further explanation:
____________________________________
(x+p)(x−q) = x² − xq + px − pq ;
____________________________________

(x+p)(x−q) =  {using "FOIL" → "First, Outer, Inner, and Last" terms}:
____________________________________
<u>F</u>irst:    x*x = x² ;

<u>O</u>uter: x*(-q)= -xq ;

<u>I</u>nner:  p*x = px ;

<u>L</u>ast:   p*(-q) = -pq
_________________________________
  (x + p)(x − q) = x² − xq + px − pq .
_________________________________
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