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? 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)

the correct question in the attached figure

We proceed to analyze each case

case a)

Expand the right side and compare with the left side

so

is not equal to

therefore

case a) is not the equation represented by ms. wilson’s model

case b)

Expand the right side and compare with the left side

so

is equal to

therefore

case b) is the equation represented by ms. wilson’s model

case c)

Expand the right side and compare with the left side

so

is not equal to

therefore

case c) is not the equation represented by ms. wilson’s model

case d)

Expand the right side and compare with the left side

so

is not equal to

therefore

case d) is not the equation represented by ms. wilson’s model

therefore

the answer is the case b)

there is only one way to arrange all the eight relative to each other because they are not distinct. we have

now there are nine places to place an (and not more than one in one place).   because we have four symbols, we need to choose four of these nine places to insert an . order does not matter because the are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

thus there are 126 ways to form such "words."