Kaelyn1636 Kaelyn1636
  • 21-09-2020
  • Mathematics
contestada

Knowing that –3 is the root of P (x) = x³ + 4x² - ax + 1, calculate the value of a and mark the correct answer.

Respuesta :

MollieToliver MollieToliver
  • 23-09-2020

Answer:

value of a is -3.33

or in fraction -10/3

Step-by-step explanation:

If -3 is the root of P(x)

then

P(-3) = 0

then we substitute -3 in place of x in the given equation

P (x) = x³ + 4x² - ax + 1

P (-3) = -3³ + 4*-3² - a(-3) + 1

=> 0 = -27 + 36  + 3a + 1

=> 0 = 10 + 3a

=> 3a = -10

=> a = -10/3 = -3.33

Thus, value of a is -3.33

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