genzmintz
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 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
  1. Case 2: (x - 1) = 0
  • x - 1 = 0
  • x = 1
  1. Case 3: (x + 1) = 0
  • x + 1 = 0
  • x = -1

-Chetan K

Answer Link

Otras preguntas

Which system of equations could be graphed to solve the equation below? logo 5x = log32+ x
What caused damage to 68,000 square miles of ocean and the Louisiana coastline in 2010?
Why did many Native American groups and enslaved people side with the British during the American Revolution?
I need help with this question please.
d -e/3d + e= e, for d​
What is the factor of -5x+5
the best essays about my ambitions for boy 150 words​
(01.05 LC) When heat energy is added, two changes are observed: Change A: Solid changes phases to a liquid. Change B: Liquid changes phases to a gas. What are t
Solve for x. X-18=64
Which pronoun correctly completes this conversation? Juan: ¿Conoces a la maestra de historia? Eric: Sí, yo _____ conozco. A. la B. lo C. las D. los