Explanation: Imagine you have the following generic trinomial
[tex]ax^2+bx+c[/tex]to find two binomials "x+n" and "x+m" for the trinomial above we just need to find the values for "n" and "m". We know that
[tex]\begin{gathered} b=n+m \\ \text{and} \\ c=n\cdot m \end{gathered}[/tex]So finally we just need to find two numbers that the sum gives us the value of "b" and the product gives us the value of "c".
Step 1: Identify the variables
Once b = 3 and c = -28 we just need to find two numbers that the sum is equal to 3 and the product is equal to -28
Step 2: Now we can see that
[tex]\begin{gathered} -4+7=3 \\ \text{and} \\ -4\cdot7=-28 \end{gathered}[/tex]As we can see above the two numbers are -4 and +7.
Final answer: So the two binomials are
A. x-4 and C. x+7
