Answer
prime
Work Step by Step
RECALL:
A perfect square trinomial can be factored using either of the following formulas:
(i) $a^2+2ab+b^2= (a+b)^2$
(ii) $a^2-2ab+b^2=(a-b)^2$
The given trinomial can be written as:
$=x^2-10x + 10^2$
This trinomial is not in the same form as either of the perfect square trinomials in
formulas (i) and (ii).
Thus, the given trinomial is not a perfect square trinomial so it cannot be factored using formulas (i) and (ii).
The trinomial cannot be factored because 100 has no factors whose sum is equal to the numerical coefficient of the middle term.
Therefore the given trinomial is prime.
