Home
Class 9
MATHS
Check whether the polynomial q(t)=4t^3+4...

Check whether the polynomial `q(t)=4t^3+4t^2-t-1`is a multiple of `2t+1`

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

If alpha and beta are the zeros of the quadratic polynomial f(t)=t^2-4t+3 , find the value of alpha^4beta^3+alpha^3beta^4 .

Check whether g(t)=t^2-3 is a factor of f(t)=2t^4+3t^3-2t^2-9t-12 by applying the division algorithm.

What must be added to 11t^(3)+5t^(4)+6t^(5)-3t^(2)+t+5 , so that the resulting polynomial is exactly divisible by 4-2t+3t^(2) ?

If the tangent at a point P with parameter t , on the curve x=4t^2+3 , y=8t^3-1 t in R meets the curve again at a point Q, then the coordinates of Q are

If the tangent at a point P with parameter t , on the curve x=4t^2+3 , y=8t^3-1 t in R meets the curve again at a point Q, then the coordinates of Q are

If the tangent at a point P with parameter t , on the curve x=4t^2+3 , y=8t^3-1 t in R meets the curve again at a point Q, then the coordinates of Q are

(2-4t+5t^2)-(3t^2 + 2t -7) is equivalent to :

Show that the area formed by the normals to y^2=4ax at the points t_1,t_2,t_3 is

If T_0,T_1, T_2, ,T_n represent the terms in the expansion of (x+a)^n , then find the value of (T_0-T_2+T_4-)^2+(T_1-T_3+T_5-)^2n in Ndot

The chord A B of the parabola y^2=4a x cuts the axis of the parabola at Cdot If A-=(a t_1^ 2,2a t_1),B-=(a t_2^2,2a t_2) , and A C : A B=1:3, then prove that t_2+2t_1=0 .

RD SHARMA ENGLISH-FACTORIZATION OF POLYNOMIAL-All Questions
  1. Let R1 and R2 are the remainders when the polynomials x^3+2x^2-5a x-7 ...

    Text Solution

    |

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

    Text Solution

    |

  3. Check whether the polynomial q(t)=4t^3+4t^2-t-1is a multiple of 2t+1

    Text Solution

    |

  4. f(x)=x^3+4x^2-3x+10 ,\ g(x)=x+4 divide f(x) with g(x) and find the rem...

    Text Solution

    |

  5. On dividing the polynomial f (x ) by the polynomial g (x ) find the re...

    Text Solution

    |

  6. Find the remainder when P(x)-:G(x) (i)P(x)= 2x^4-6x^3+2x^2-x+2 ; G(x...

    Text Solution

    |

  7. f(x)=4x^3-12 x^2+14 x-3,\ g(x)=2x-1 divide f(x) with g(x) and find the...

    Text Solution

    |

  8. Find the remainder when f(x)=x 3 −6x 2 +2x−4 is divided by g(x)=1−...

    Text Solution

    |

  9. Find the remainder when f(x)=x^4-3x^2+4 is divided by g(x)=x-2 is.

    Text Solution

    |

  10. Find the remainder when f(x)=9x^3-3x^2+x-5, is divided by g(x)=x-2/3

    Text Solution

    |

  11. f(x)=3x^4+2x^3-(x^2)/3-x/9+2/(27),\ g(x)=\ x+2/3 find the value of f(x...

    Text Solution

    |

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

    Text Solution

    |

  13. The polynomials a x^3+3x^2-3 and 2x^3-5x+a when divided by (x-4) leave...

    Text Solution

    |

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

    Text Solution

    |

  15. Find the remainder when x^3+3x^2+3x+1 is divided by (i) x+1 (ii) x...

    Text Solution

    |

  16. Find the remainder when x^3+3x^2+3x+1 is divided by (i) x+1 (ii) x...

    Text Solution

    |

  17. Show that (x-3) is a factor of the polynomial x^3-3x^2+4x-12

    Text Solution

    |

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

    Text Solution

    |

  19. Show that x+1 and 2x-3 are factors of 2x^3-9x^2+x+12

    Text Solution

    |

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

    Text Solution

    |