Question

Ms. Wilson draws a model of the factorization of a polynomial with integer factors. Her model is partially complete.

Which equation is represented by Ms. Wilson’s model?

n
n2
5 5n 40




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

B

Explanation:

Right on Edge2021

Answer 2

B.
`n^(2)+13n+40=(n + 8)(n + 5)`

Explanation:

We have that,

Ms. Wilson's model has the integer factors 'n,
`n^(2)`, 5, 5n, 40'.

Now, the given polynomial should have the above factors.

Moreover, according to the options, we see that the polynomials are equal only when left side is equal to the right side.

Upon solving the right side of the options, we get that,

`(n + 8)(n + 5)=n^(2)+5n+8n+40=n^(2)+13n+40`.

So, we see the polynomial
`n^(2)+13n+40=(n + 8)(n + 5)` has the required factors.

Hence, this equation
`n^(2)+13n+40=(n + 8)(n + 5)` represents Ms. Wilson's model.