Math, asked by chirag17970, 10 months ago

use the factor theoram whether g(x) ia a factor of polynomial f(x)
f(x)=x^3-6x^2+11x-6
g(x)=x-3​

Answers

Answered by Malhar258060
1

Answer:

hey frnd here is your answer

Step-by-step explanation:

  • f(x)=x³-6x²+11x+6
  • g(x)=x-3.

  • If g(x) is a factor of Polynomial then it should satisfy the Polynomial.

  • so just put x=3 in f(x)

  • f(x)=x³-6x²+11x-6

  • =(3)³-6(3)²+11(3)-6

  • =27-54+33-6

  • = -27+33-6

  • =6-6

  • f(x)=0

so yes we can say that (x-3) is a factor of Polynomial

so your final answer is-

(x-3) is a factor of x³-6x²+11x-6

I hope you get the right answer

thanks for asking

plzz mark as brainlist...

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