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

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.

anonymous · Answer

[You may have to put it in better terms because I don't really like english...]
Well, Tommy this trinomial is factorable because the discriminant (b^2-4ac) is a perfect square (1). In addition, two factors of 28 are 8 and 7 which add to 15. And factoring it shows:$$2x^2+8x+7x+28$$$$2x(x+4)+7(x+4)$$$$(2x+7)(x+4)$$

anonymous · Answer

do you think you can help me with the part 2?

anonymous · Answer

There is a correction, my apologies.The second argument is wrong. Your suppose to say.

Tommy, your not looking for two factors of 28 your looking for 2 factors of 2 multiplied by 28 which is 56 and those 2 factors which are 8 and 7 will give you 15.

anonymous · Answer

x^2+3x+5. I know this trinomial is prime because there are no two factors of five that can give will add to give me a positive three.

anonymous · Answer

oh alright

anonymous · Answer

Thank you!

anonymous · Answer

You're surely welcome!