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JUSTIFY WHY: Show all work. Complete each product table using monomials. Then write the product for each...

1. JUSTIFY WHY: Show all work.
Complete each product table using monomials. Then write the product for each table as a polynomial in standard form.
(x + 4)(x - 5)
The product is

Answer

1. JUSTIFY WHY: Show all work.

To complete the product table for (x + 4)(x - 5), we multiply each term in the first binomial by each term in the second binomial:

  1. x * x = x2
  2. x * (-5) = -5x
  3. 4 * x = 4x
  4. 4 * (-5) = -20

Combine the like terms to write the product as a polynomial in standard form:

The product is: x2 - x - 20

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