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

The equation represented by Ms. Wilson's model is n² + 13n + 40 = (n + 8)(n + 5)

How to determine the equation of the model?

The partially completed model is given as:

    |  n

    |  n²

5   | 5n  |  40

By dividing the rows and columns, the complete model is:

    |  n    | 8

n   |  n²  |  8n

5   | 5n  |  40

Add the cells, and multiply the leading  row and columns

n² + 8n + 5n + 40 = (n + 8)(n + 5)

This gives

n² + 13n + 40 = (n + 8)(n + 5)

Hence, the equation represented by Ms. Wilson's model is n² + 13n + 40 = (n + 8)(n + 5)

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