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galina1969 [7]
4 years ago
8

Write a polynomial in standard form with zeros 1, 2, and −5.

Mathematics
1 answer:
lianna [129]4 years ago
7 0

Answer:

The answer to your question is letter C

Step-by-step explanation:

With zeros 1, 2 and -5

Process

1.- Equal the zeros to x

           x₁ = 1               x₂ = 2     x₃ = - 5

           x₁ - 1 = 0         x₂ - 2 = 0     x₃ + 5 = 0

2.- Write the roots as a product

           (x - 1)(x - 2)(x + 5)= 0

3.- Multiply the zeros

           (x - 1)(x - 2) = x² - 2x - x + 2

Simplify                = x² - 3x + 2

            (x + 5)(x² - 3x + 2) = x³ - 3x² + 2x + 5x² - 15x + 10

Simplify like terms and result

                                          = x³ + 2x² - 13x + 10

 

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