Question

3t squared -4t-15 = Factor the trinomial

Answer 1

\[(t-3) (3 t+5) \]

Answer 2

3t^2-4t-15



3t^2+5t-9t-15



(3t^2+5t)+(-9t-15)



t(3t+5)+(-9t-15)



t(3t+5)-3(3t+5)



(t-3)(3t+5)



So 3t^2-4t-15 factors to (t-3)(3t+5)



In other words, 3t^2-4t-15=(t-3)(3t+5)