Home
Class 12
MATHS
If x+3 is a factor of f(x)=px^(2)+p^(2)x...

If `x+3` is a factor of `f(x)=px^(2)+p^(2)x+30 and pgt0`, what is the value of p?

Text Solution

Verified by Experts

The correct Answer is:
`5`
Promotional Banner

Topper's Solved these Questions

  • PASSPORT TO ADVANCED MATH

    ENGLISH SAT|Exercise Multiple Choice|90 Videos
  • PASSPORT TO ADVANCED MATH

    ENGLISH SAT|Exercise Grib-In|29 Videos
  • PARAMETRIC EQUATIONS

    ENGLISH SAT|Exercise EXERCISES|3 Videos
  • PIECEWISE FUNCTIONS

    ENGLISH SAT|Exercise EXERCISES|8 Videos

Similar Questions

Explore conceptually related problems

If (4p+1)^(2)=81 and pgt0 , what is a possible value of p?

If f(x)=x^2+x-42 and f(p-1)=0. what is a positive value of p ?

If f(x)=5x^2 -3 and f(x+a)=5x^2 + 30x + 42 , what is the value of a ?

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

If the solution to 2x^(2)-8x-5=0 are p and q with pgtq , what is the value of p-q?

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

ENGLISH SAT-PASSPORT TO ADVANCED MATH-EXERCISE
  1. If x+3 is a factor of f(x)=px^(2)+p^(2)x+30 and pgt0, what is the valu...

    Text Solution

    |

  2. Let leftrightarrow be an operation on p and q defined as p leftrightar...

    Text Solution

    |

  3. The number of units sold, N, of a product follows the realtion N= 120-...

    Text Solution

    |

  4. The graph of f(x)=(3)/(x-5) is shown above: (##VIB343SATMATC04E0100...

    Text Solution

    |

  5. For all non-negative x, let f(x)=x^(3)-8 and g(x)=x-2. For how many in...

    Text Solution

    |

  6. If a^(6)b^(3)=4816 and (a^10)/(b)=301, what is the value of (a^(2))/(b...

    Text Solution

    |

  7. Let ~= be an operation on a and b defined as a ~= b=ab+b^(2). If p ~= ...

    Text Solution

    |

  8. If x^(2)>x^(3)>x , which of the following statements must be correct? ...

    Text Solution

    |

  9. A man puts $P in a bank which offers n% interest compounded annually. ...

    Text Solution

    |

  10. After multiplying by 5, each of the following numbers will have the sa...

    Text Solution

    |

  11. How many two-digit numbers exist such that the difference of the squar...

    Text Solution

    |

  12. If p and q are the roots of x^(2)-4x+1=0 , choose from the options be...

    Text Solution

    |

  13. The graph of a quadratic expression ax^(2)+bx+c is shown beside. Which...

    Text Solution

    |

  14. If f(x)=x^(3)-kx^(2)+2x and f(-x)= -f(x), the value of k is

    Text Solution

    |

  15. Joe throws a ball upwards from a height of 12 feet from ground level. ...

    Text Solution

    |

  16. Which of the following correctly shows the range of the function f(x)=...

    Text Solution

    |

  17. The graphs of f(x) and g(x) are shown below. Which option is true?

    Text Solution

    |

  18. If f(x+2)=3x+11 and g(f(x))=2x, find the value of g(5).

    Text Solution

    |

  19. If a and b are positive integers satisfying (a+3)^(2)+(b+1)^(2)=85 , w...

    Text Solution

    |

  20. Joe throws a ball upwards from a certain height above the ground level...

    Text Solution

    |

  21. If f(x)=ax^(2)+bx+c and f(x+1)=f(x)+x+1, then the value of (a+b) is

    Text Solution

    |