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. @FoolForMath @ParthKohli

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. @FoolForMath @ParthKohli

parthkohli · Answer

It is factorable:

$\Large \color{purple}{\rightarrow 2x^2 + 8x + 7x + 28 }$

$\Large \color{purple}{\rightarrow 2x(x + 4) + 7(x + 4) }$

$\Large \color{purple}{\rightarrow (2x + 7)(x + 4) }$

They missed multiplying the 2 to 28!

parthkohli · Answer

Do you know how to factor quadratic expressions?

parthkohli · Answer

2nd part: You can create a prime expression by putting up the numerical coefficients in the terms of the trinomial as prime numbers. EASIEST WAY!

anonymous · Answer

Ok gotcha!!! THANKS AGAIN! and yes i do im just lazy. xD