Question

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

Answer 1

The coefficient is: "1" .
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Note: There is an "implied coefficient" of "1"; since "1", multiplied by any value, is equal to that exact same value; by convention, we eliminate the "1" as a coefficient.
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Further explanation:
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(x+p)(x−q) = x² − xq + px − pq ;
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(x+p)(x−q) = {using "FOIL" → "First, Outer, Inner, and Last" terms}:
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First: x*x = x² ;

Outer: x*(-q)= -xq ;

Inner: p*x = px ;

Last: p*(-q) = -pq
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(x + p)(x − q) = x² − xq + px − pq .
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