Home
Class 9
MATHS
If (x-1) is a factor of polynomial f(x...

If `(x-1)` is a factor of polynomial `f(x)` but not of `g(x)` , then it must be a factor of (a)`f(x)g(x)` (b) `-f\ (x)+\ g(x)` (c)`f(x)-g(x)` (d) `{f(x)+g(x)}g(x)`

Text Solution

AI Generated Solution

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 f(x) and g(x) are polynomial functions of x, then domain of (f(x))/(g(x)) is

If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to (A) f(a) = g(c ) (B) f(b) = g(b) (C) f(d) = g(b) (D) f(c ) = g(a)

f(x)=x^x , x in (0,oo) and let g(x) be inverse of f(x) , then g(x)' must be

int \ {f(x)*g^(prime)(x)-f^(prime)(x)g(x))/(f(x)*g(x)){logg(x)-logf(x)} \ dx

Use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x) or, not: f(x)=2x^3-9x^2+x+12 ,\ g(x)=3-2x

If intsinx d(secx)=f(x)-g(x)+c ,t h e n f(x)=secx (b) f(x)=tanx g(x)=2x (d) g(x)=x

If f(x)=|x-2| and g(x)=f(f(x)) then g'(x)=

Use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x) or, not: f(x)=x^3-6x^2+11 x-6;g(x)=x-3

If f(x)a n dg(f) are two differentiable functions and g(x)!=0 , then show trht (f(x))/(g(x)) is also differentiable d/(dx){(f(x))/(g(x))}=(g(x)d/x{f(x)}-g(x)d/x{g(x)})/([g(x)]^2)

Let f and g be two differentiable functions on R such that f'(x)>0 and g′(x) g(f(x-1)) (b) f(g(x))>f(g(x+1)) (c) g(f(x+1))

RD SHARMA ENGLISH-FACTORIZATION OF POLYNOMIAL-All Questions
  1. If x-2 is a factor of x^2+3a x-2a, then a= (a) 2 (b) -2 (c) 1 (...

    Text Solution

    |

  2. If x^3+6x^2+4x+k , is exactly divisible by (x+2), then the value of k ...

    Text Solution

    |

  3. If x-a is a factor of x^3-3x^2a+2a^2x+b , then the value of b is (a) ...

    Text Solution

    |

  4. If x^(140)+2x^(151)+k is divisible by x+1 , then the value of k is=? ...

    Text Solution

    |

  5. If x+2 and x-1 are the factors of x^3+10 x^2+m x+n, then the values of...

    Text Solution

    |

  6. Let f(x) be a polynomial such that f(-1/2)=0, then a factor of f(x) ...

    Text Solution

    |

  7. When x^3-2x^2+a x-b is divided by x^2-2x-3, the remainder is x-6. The ...

    Text Solution

    |

  8. One factor of x^4+x^2-20 is x^2+5. The other factor is x^2-4\ (b) ...

    Text Solution

    |

  9. If (x-1) is a factor of polynomial f(x) but not of g(x) , then it mu...

    Text Solution

    |

  10. (x+1) is a factor of x^n+1 only if

    Text Solution

    |

  11. If x+2\ is a factor of x^2+m x+14 , then m=

    Text Solution

    |

  12. If x-3 is a factor of x^2-a x-15 , then a= (a) -2 (b) 5 (c) -5 ...

    Text Solution

    |

  13. If x^2+x+1 is a factor of the polynomial 3x^3+8x^2+8x+3+5k , then th...

    Text Solution

    |

  14. If (3x-1)^7=a7x^7+a6x^6+a5x^5+....+a1x+a0 then the value of a7 + a6. ....

    Text Solution

    |

  15. If x^(51)+51 is divided by x+1 , the remainder is (a)0 (b) 1 (c) ...

    Text Solution

    |

  16. If x+1 is a factor of the polynomial 2x^2+k x , then k= (a) -2 (...

    Text Solution

    |

  17. If x+a is a factor of x^4-a^2x^2+3x-6a , then a=

    Text Solution

    |

  18. Find the value of k, if x-1 is a factor of 4x^3+3x^2-4x+k .

    Text Solution

    |

  19. If both x-2 and x-1/2 are factors of p x^2+5x+r , show that p=rdot

    Text Solution

    |

  20. If x^2-1 is a factor of a x^4+b x^3+c x^2+dx+e , show that a+c+e=...

    Text Solution

    |