Q15. - Algebra 1

Question

Determine whether each trinomial is a perfect square trinomial. Write yes or no. If so, factor it.

$5t^2-12t+25$

Step-by-Step Solution

Answer

No, the given trinomial is not a perfect square trinomial.

Step 1. Observe the given trinomial 5 t 2 − 12 t + 25 .

The given trinomial is: $5t^2-12t+25$

The first, middle, and last terms of the given trinomial are $5t^2,-12t$ and 25 respectively.

The first term of the given trinomial is not a perfect square.

Step 2. Determine whether the given trinomial 5 t 2 − 12 t + 25 is a perfect square trinomial .

As, the first term of the given trinomial is not a perfect square.

Therefore, No, the given trinomial is not a perfect square trinomial.