Home
Class 9
MATHS
If x-2 is a factor of x^2+3a x-2a, then ...

If `x-2` is a factor of `x^2+3a x-2a,` then `a=` 2 (b) `-2` (c) 1 (d) -1

Text Solution

Verified by Experts

`x-2=0,x=2`
`2^2+3a(2)-2a=0`
`4+6a-2a=0`
`4+4a=0`
`a=-1`
Promotional Banner

Topper's Solved these Questions

  • FACTORIZATION OF ALGEBRAIC EXPRESSIONS

    RD SHARMA|Exercise All Questions|226 Videos

  • GRAPHICAL REPRESENTATION OF STATISTICAL DATA

    RD SHARMA|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

If x+a is a factor of x^(4)-a^(2)x^(2)+3x-6a then a=0( b) -1( c) 1 (d) 2

If x+2 is a factor of x^2+a x+2b and a+b=4 , then (a) a=1, b=3 (b) a=3, b=1 (c) a=-1, b=5 (d) a=5, b=-1

If x+1 is a factor of the polynomial 2x^(2)+kx, then k=-2(b)-3(c)4(d)2

If 1/2+1/x=2, then x= 2/5 (b) 5/2 (c) 3/2 (d) 2/3

The value of k for which x -1 is a factor of 4X^3 + 3x^2 - 4x + k is (A) A 3 (B) 1 (C) -2 (D) -3

If x-a is a factor of x^(3)-3x^(2)a+2a^(2)x+b then the value of b is 0(b)2(c)1(d)3

If x ^(2)+bx+b is a factor of x ^(3) +2x ^(2) +2x+c (c ne 0), then b-c is :

If both X+1 and x-1 is factor of ax^(3)+bx^(2)-2x+b then find a+b .

If x ^(2) +bx+b is a factor of x ^(3) +2x ^(2)+2x + c (c ne 0), then b-c is :

if x^(2)+x+1 is a factor of ax^(3)+bx^(2)+cx+d then the real root of ax^(3)+bx^(2)+cx+d=0 is : (a) -(d)/(a)(B)(d)/(a) (C) (a)/(b) (D)none of these

RD SHARMA-FACTORIZATION OF POLYNOMIAL-All Questions
  1. If x+1 is a factor of x^3+a , then write the value of a

    Text Solution

    |

  2. If f(x)=x^4-2x^3+3x^2-a x-b when divided by x-1 , the remainder is 6, ...

    Text Solution

    |

  3. If x-2 is a factor of x^2+3a x-2a, then a= 2 (b) -2 (c) 1 (d) -1

    Text Solution

    |

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

    Text Solution

    |

  5. If x-a is a factor of x^3-3x^2a+2a^2x+b , then the value of b is 0 (b)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. (x+1) is a factor of x^n+1 only if  (a)n is an odd integer   (b) n i...

    Text Solution

    |

  13. If x+2\ is a factor of x^2+m x+14 , then m= (a)7 (b) 2 (c) 9 (d) ...

    Text Solution

    |

  14. If x-3 is a factor of x^2-a x-15, then a=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. If x^(51)+51 is divided by x+1 , the remainder is 0 (b) 1 (c) 49 (...

    Text Solution

    |

  18. If x+1 is a factor of the polynomial 2x^2+k x , then k= -2 (b) -3 ...

    Text Solution

    |

  19. If x+a is a factor of x^4-a^2x^2+3x-6a , then a= 0 (b) -1 (c) 1 (d) ...

    Text Solution

    |

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

    Text Solution

    |