Factor the polynomial t4 2t3 24t2 Your answer can be writt

Factor the polynomial t^4 + 2t^3 - 24t^2. Your answer can be written as t^N(t + A) (t + B) where A

Solution

Given t^4+2t^3-24t^2

For fector the polynomial

Taking (t^2) from the eqn

= t^2[t^2 + 2t - 24]

= t^2[t^2 + 2t + 1 - 24 - 1] [t^2 + 2t + 1 - 24 - 1] This term is used to make perfect square

= t^2[(t+1)^2 - (5)^2]

N = 2

A = 1

B = 5

Answer