SOLUTION: t^2+2tj-35j^2 factor the trinomial and if possible could you show the work so I can figure out how to do this pretty please and thank you

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: t^2+2tj-35j^2 factor the trinomial and if possible could you show the work so I can figure out how to do this pretty please and thank you      Log On


   



Question 889384: t^2+2tj-35j^2
factor the trinomial
and if possible could you show the work so I can figure out how to do this pretty please and thank you

Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
t^2+2tj-35j^2
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Factoring is trial and error.
What you need for this one is a pair of factors of 35 that differ by 2.
Not a hard one.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
t^2+2tj-35j^2
factor the trinomial
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Using the AC Method::
A = 1 ; B = 2 ; C = -35
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B = +7 -5
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Replace B by 7tj - 5tj = 2tj
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t^2 +7tj -5tj - 35j^2
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Factor the 1st 2 and the last 2 terms separately::
= t(t+7j)-5j(t+7j)
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Factor again to get the final answer::
= (t+7j)(t-5j)
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Cheers,
Stan H.
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