MathematicsIf (x+3) is the factor of polynomial x 3 +a x 2 +x+3   then the value of a is:

If (x+3) is the factor of polynomial x 3 +a x 2 +x+3   then the value of a is:


  1. A
    3
  2. B
    4
  3. C
    0
  4. D
    -3 

    Fill Out the Form for Expert Academic Guidance!l



    +91



    Live ClassesBooksTest SeriesSelf Learning



    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Solution:

    Given, x+3   is the factor of x 3 +a x 2 +x+3  .
    Putting the value of x = -3 in the given polynomial,
    3 3 +a 3 2 + 3 +3=0 27+9a3+3=0 27=9a a= 27 9 a=3  
    Therefore, the value of a is 3.
    Hence, option 1 is correct.
    Chat on WhatsApp Call Infinity Learn

      Talk to our academic expert!



      +91


      Live ClassesBooksTest SeriesSelf Learning




      Verify OTP Code (required)

      I agree to the terms and conditions and privacy policy.