Home
Class 9
MATHS
Determine the value of a for which the p...

Determine the value of a for which the polynomial `2x^4-a x^3+4x^2+2x+1` is divisible by `1-2xdot`

Promotional Banner

Topper's Solved these Questions

  • FACTORIZATION OF ALGEBRAIC EXPRESSIONS

    RD SHARMA ENGLISH|Exercise All Questions|226 Videos

  • GRAPHICAL REPRESENTATION OF STATISTICAL DATA

    RD SHARMA ENGLISH|Exercise All Questions|85 Videos

Similar Questions

Explore conceptually related problems

Determine the values of x for which the matrix A=[x+1-3 4-5x+2 2 4 1x-6] is singular.

Determine the remainder when the polynomial p(x)=x^4-3x^2+2x+1, is divided by x-1

The value of p for which the polynomial x^2+4x^2-p x+8 is exactly divisible by (x-2) is 0 (b) 3 (c) 5 (d) 16

Find the values of a and b so that the polynomial x^3+10 x^2+a x+b is exactly divisible by x-1 as well as x-2.

Find the values of a and b so that the polynomial x^3+10 x^2+ax+b is exactly divisible by x-1 as well as x-2.

The value of the polynomial 5x -4x^(2)+3, when x=-1 is

The value of k so that x^4 -4x^3 +5x^2 -2x +k is divisible by x^2 -2x +2 is

Determine the values of x for which the matrix A= [(x+1,-3 ,4),(-5,x+2, 2) ,(4 ,1,x-6)] is singular.

Find the remainder when the polynomial 4x^(4)+3x^(2)-5x+1 is divided by (2x-1).

Find the value of the polynomial 5x-4x^2+3 at (i) x=0 (ii) x=-1 (iii) x=2

RD SHARMA ENGLISH-FACTORIZATION OF POLYNOMIAL-All Questions
  1. Find the values of a and b so that the polynomial x^3+10 x^2+ax+b is e...

    Text Solution

    |

  2. For what values of a is 2x^3+a x^2+11 x+a+3 exactly divisible by (2x-1...

    Text Solution

    |

  3. Determine the value of a for which the polynomial 2x^4-a x^3+4x^2+2x+1...

    Text Solution

    |

  4. Find the value of a and b so that the polynomial x^3-a x^2-13 x+b has ...

    Text Solution

    |

  5. Without actual division prove that 2x^4-6x^3+3x^2+3x-2 is exactly divi...

    Text Solution

    |

  6. Find the value of a , if x-1 is a factor of x^3-a^2x+x+2.

    Text Solution

    |

  7. If the polynomials a x^3+3x^2-13 and 2x^3-5x+a , when divided by (x-2)...

    Text Solution

    |

  8. Show that (x-1) is a factor of x^(10)-1 and also of x^(11)-1.

    Text Solution

    |

  9. Identify polynomials in the following: (i) f(x)=4x^3-x^2-3x+7 (ii) g(...

    Text Solution

    |

  10. Show that x=1 is a root of the polynomial 2x^3-3x^2+7x-6

    Text Solution

    |

  11. If x=4/3 is a root of the polynomial f(x)=6x^3-11 x^2+k x-20 , find th...

    Text Solution

    |

  12. If x=2 and x=0 are roots of the polynomial f(x)=2x^3-5x^2+a x+bdot Fin...

    Text Solution

    |

  13. Which of the following expressions are polynomials in one variable a...

    Text Solution

    |

  14. Write the degrees of each of the following polynomials: (i) 7x^3+4x^...

    Text Solution

    |

  15. Classify the following polynomials as polynomials in one-variable, ...

    Text Solution

    |

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

    Text Solution

    |

  17. Find the rational roots of the polynomial 2x^3+3x^2-11 x-6

    Text Solution

    |

  18. If x=0 and x=-1 are the roots of the polynomial f(x)=2x^3-3x^2+a x+b ,...

    Text Solution

    |

  19. If f(x)=x^4-2x^3+3x^2-a x+b is a polynomial such that when it is divid...

    Text Solution

    |

  20. Using factor theorem, factorize the polynomial x^4+2x^3-13 x^2-14 x+24

    Text Solution

    |