Factor t^2 + 2t - 15?

Factor

t^2 + 2t - 15

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  • khalil
    Lv 7
    6 years ago
    Favorite Answer

    t^2 + 2t - 15

    t coefficient ...it is 2

    half it...result 1

    add and subtract 1^2 =1

    t^2 + 2t - 15 +1 - 1

    t^2 + 2t + 1 = ( t+1 )^2

    ( t+1 )^2 - 16 =

    ( t+ 1 +4 ) ( t+1 -4 ) =

    (t+5 ) ( t- 3 )

    second solution

    solve ..t^2 + 2t - 15 = 0

    change roots sign

    t = [-2 +/- sq ( 4 + 60 ) ]/ 4

    t = -5 and +3

    (t +5 ) (t -3 )

  • 6 years ago

    t^2+2t-15

    What numbers add to 2 and multiply to -15?

    5 and -3

    So the answer is (t+5)(t-3)

  • 6 years ago

    (t+5)(t-3); t*t=t^2, 5*t+(-3*t)=2t, -3*5=-15, altogether, t^2+2t-15

    Source(s): FOIL Method
  • 6 years ago

    (t + 5)(t - 3).

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