Home
Class 9
MATHS
if x^2+2x+3 ,is the factor of x^4+3px^2...

if `x^2+2x+3` ,is the factor of ` x^4+3px^2+2q`then find `p+q`

Text Solution

Verified by Experts

The correct Answer is:
`(31)/(6)`
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 2d|5 Videos
  • POLYNOMIALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 2 E|22 Videos
  • POLYNOMIALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 2b|5 Videos
  • NUMBER SYSTEM

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (short Answer Questions)|10 Videos
  • PROBABILITY

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (very Short Answer /short Answer Questions)|10 Videos

Similar Questions

Explore conceptually related problems

IF x^2-3x +2 is a factor of x ^4 -px^2 +q=0 then (p,q)

If x^(2) - 3x + 2 is factor of x^(4) - px^(2) + q then 2q - p is equal to

If x ^(2) -3x+2 is a factor of x ^(4) -px ^(2) +q=0, then p+q=

If (x^2- 3x + 2) is a factor of x^4-px^2+q=0 , then the values of p and q are

If p and q are the roots of x^2 + px + q = 0 , then find p.

If x+2k is a factor of p(x)=x^5−4k^2x^3+2x+2k+3 . Find k.

If (x-2) is a factor of 2x^(3)-x^(2)-px-2 (i) find the value of p. (ii) with the value of p, factorise the above expression completely.

If (x+ p) is a factor of the polynomial 2x^2 +2px+5x 10 . find p.

NAGEEN PRAKASHAN ENGLISH-POLYNOMIALS-Exercise 2c
  1. Divide p(x) by g(x) in each of the following questions and find the qu...

    Text Solution

    |

  2. Divide p(x) by g(x) in each of the following questions and find the qu...

    Text Solution

    |

  3. Divide p(x) by g(x) in each of the following questions and find the qu...

    Text Solution

    |

  4. Divide p(x) by g(x) in each of the following questions and find the qu...

    Text Solution

    |

  5. In each of the following cases (Q.9-12), find whether g(x) is a factor...

    Text Solution

    |

  6. In each of the following cases (Q.9-12), find whether g(x) is a factor...

    Text Solution

    |

  7. In each of the following cases (Q.9-12), find whether g(x) is a factor...

    Text Solution

    |

  8. In each of the following cases (Q.9-12), find whether g(x) is a factor...

    Text Solution

    |

  9. Using remainder theorem, find the remainder when : (i) x^(3)+5x^(2)-...

    Text Solution

    |

  10. Show that : (i) x-5, is factor of x^(2)-11x+30 " " (ii) (x+2, is...

    Text Solution

    |

  11. Polynomials ax^(3)+3x^(2)-3 " and" 2x^(3)-5x+a when divided by (x-4) l...

    Text Solution

    |

  12. Find the value of 'k' if : (i) x+5, is a factor of 2x^(3)+kx^(2)-11x...

    Text Solution

    |

  13. Using factor theorem, factorize the polynomial x^3-6x^2+11 x-6 .

    Text Solution

    |

  14. if x^2+2x+3 ,is the factor of x^4+3px^2+2qthen find p+q

    Text Solution

    |

  15. What should be subtracted from p(x)=6x^(4)+7x^(3)+26x^(2)-25x+25 so th...

    Text Solution

    |

  16. When a polynomial f(x) is divisible by x-3 and x+6, the respective rem...

    Text Solution

    |

  17. Evaluate : ((0.35)^(3)+(0.41)^(3)-(0.76)^(3))/(9(0.35)(0.41)(0.76))

    Text Solution

    |

  18. Evaluate : (x^(1//3)+y^(1//3))(x^(2//3)-x^(1//3)y^(1//3)+y^(2//3)), wh...

    Text Solution

    |

  19. Evaluate : x^(3)+3x-13, " if" x=root(3)(7+5sqrt(2))-(1)/(root(3)(7+5sq...

    Text Solution

    |

  20. Find the greatest value of x, which satisfies the system of equations ...

    Text Solution

    |