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.

Question

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.