alinapie101 alinapie101
  • 08-08-2018
  • Mathematics
contestada

When the factors of a trinomial are (x - p) and (x + q) then the constant term of the trinomial is:

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Luv2Teach
Luv2Teach Luv2Teach
  • 08-08-2018

If you FOILed out those factors, you would get a quadratic that is

[tex] x^2-qx-px-pq [/tex].

Combining "like" terms gives us

[tex] x^2-pqx-pq [/tex] when p and q are integers. That means that the constant, the last term in this quadratic, pq, is our constant, and that constant is the product of whatever p and q are.

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