Answer
False. Change statement to
"$x^{2}+x+20$" is a prime trinomial.
Work Step by Step
If the trinomial $ax^{2}+bx+c$ can be factored, it will be in the form $(x+n)(x+m)$, where
the product of integers n and m is $c$
their sum is $b.$
Factors of 20, both positive
1 and 20 ... sum =21,
2 and 10 ... sum =12
4 and 5 ... sum =9.
No pair has sum =1.
No factorization exists. The trinomial is prime.
False. Change statement to
"$x^{2}+x+20$" is a prime trinomial.
