Question

[8.04] Part 1: Tommy and Jessica are discussing how to factor 2x2 + 15x + 28. Tommy feels this trinomial is prime because he cannot find the factors of 28 that have a sum of 15. Jessica says he is incorrect and that it is factorable.

Using complete sentences, provide a convincing argument explaining who is correct and why. If this trinomial is factorable, factor it showing all work and explain your steps.

Part 2: Create your own prime trinomial in the form ax2 + bx + c. Using complete sentences, explain how you know it is prime.

I just need help on part two

Answer 1

help on this part Part 2: Create your own prime trinomial in the form ax2 + bx + c. Using complete sentences, explain how you know it is prime.

Answer 2

\(x^2-3x+15\)

A way you can tell if it's prime or not is to feed it into a portion of the quadrac formula:

\(\sqrt{b^2 - 4ac}\)

If the result is an integer, it's not prime (aka it can be factored).

If the result is something in radical form, then it is prime.

So in this case:

\(\sqrt{(-3)^2 - 4(1)(15)}\)
\(\sqrt{6 - 60}\)
\(\sqrt{-54}\)

The result are imaginary numbers, so it cannot be factored, thus it's prime.

Answer 3

oh ok

Answer 4

is that the answer??????