The value of c for which the considered trinomial becomes perfect squaretrinomial is: 20 or -20
<h3>What are perfect squares trinomials?</h3>
They are those expressions which are found by squaringbinomial expressions.
Since the given trinomials are with degree 2, thus, if they are perfectsquare, the binomial which was used to make them must be linear.
Let the binomialterm was ax + b(a linearexpression is always writable in this form where a and b are constants and m is a variable), then we will obtain:
Comparing this expression with the expression we're provided with:
we see that:
Thus, the value of c for which the considered trinomial becomes perfect squaretrinomial is: 20 or -20