genzmintz genzmintz

18-01-2022
Mathematics

contestada

what are the zeros of f(x)=2x^3+5x^2-2x-5, if one of the zeros is 1?

Respuesta :

chetankachana chetankachana

18-01-2022

Answer:

x = -5/2, -1, 1

Step-by-step explanation:

Step 1: Factor

2x³ + 5x² - 2x - 5
(2x + 5)x² - 2x - 5
(2x + 5)(x - 1)(x + 1)

Step 2: Replace y with 0

"f(x)" is the same as "y = "

0 = (2x + 5)(x - 1)(x + 1)
Case 1: (5 + 2x) = 0

5 + 2x = 0
2x = -5
x = -5/2

Case 2: (x - 1) = 0

x - 1 = 0
x = 1

Case 3: (x + 1) = 0

x + 1 = 0
x = -1

-Chetan K

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