Question

Ms. Wilson draws a model of the factorization of a polynomial with integer factors. Her model is partially complete. A 2-column table with 2 rows. First column is labeled n with entries n squared, 5 n. Second column is not labeled with entries blank, 40. First row is not labeled with entries n squared, blank. Second row is labeled 5 with entries 5 n, 40. Which equation is represented by Ms. Wilson’s model? n2 + 3n + 40 = (n – 8)(n – 5) n2 + 13n + 40 = (n + 8)(n + 5) n2 + 40n + 13 = (n + 8)(n + 5) n2 + 40n + 3 = (n – 8)(n – 5)

Answer 1

its b

Explanation:

I just took the test

Answer 2

Second option

Explanation:

Focus on the right side only. We have (n+8)(n+5).

Let's use FOIL to expand that out

F = first means we multiply the first terms n and n to get n^2

O = outer tells us to multiply the outer terms n and 5 to get n*5 or 5n

I = inner tells us to multiply the inner expressions 8 and n to get 8n

L = last meaning we multiply 8 and 5 to get 8*5 = 40

Add up those results: n^2+5n+8n+40 = n^2+13n+40

Notice how the like terms (5n and 8n) combine to have the expression simplify a bit.

This shows how (n+8)(n+5) turns into n^2+13n+40, which is why the second choice is the answer. The other choices aren't true equations for all values of n.