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# Factor t^2 + 2t - 15?

Factor

t^2 + 2t - 15

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### 4 Answers

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- khalilLv 76 years agoFavorite 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

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