mimi8976 mimi8976
  • 02-03-2019
  • Mathematics
contestada

x^3-5x^2-2x+24 factorize

Respuesta :

jaylons100
jaylons100 jaylons100
  • 02-03-2019

Answer:

(x + 2)(x − 3)(x − 4) = 0

Step-by-step explanation:

Answer Link
bhawnau233 bhawnau233
  • 02-03-2019

Answer:(x-2)(x-3)(x-4)

Step-by-step explanation:

Use the rational root theorem to get started, then factor the remaining quadratic to find:

f(x)=x^3-5x^2-2x+24

f(2)=(2)^3-5(2)^2-2(2)+24

f(2)=0

i.e 2 is a root of f(x)

(x-2) is a factor

Now by dividing x^3-5x^2-2x+24by (x-2),

we get q(x)=x^2-7x+12

Since, q(x) is also a factor of x^3-5x^2-2x+24

Factorising x^2-7x+12

(x-4)(x-3)

So, all the factors of

x^3-5x^2-2x+24 are (x-4),(x-3) and (x-2)

Answer Link

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