Home
Class 9
MATHS
One of the factors of (25 x^(2)-1) ...

One of the factors of `(25 x^(2)-1) +(1+5x)^(2)` is

A

`5+x`

B

`5-x`

C

`5x-1`

D

`10x`

Text Solution

Verified by Experts

The correct Answer is:
D
Now ,`(25x^(2)-1)=(1+5x)^(2)`
`=25x^(2)-1+1+25x^(2)+10x " " ["using identity , " (a+b)^(2)=a^(2)+b^(2)+2ab]`
`=50 x^(2)+10x=10x(5x+1)`
Hence ,one of the factor of given polynomial is 10x .
Promotional Banner

Topper's Solved these Questions

  • NUMBER SYSTEMS

    NCERT EXEMPLAR|Exercise SHORT ANSWER TYPE QUESTIONS|1 Videos

  • QUADRILATERALS

    NCERT EXEMPLAR|Exercise Quadrilaterals|56 Videos

Similar Questions

Explore conceptually related problems

one of the factor of x^(3)-x^(2)+x-1 is

One of the factor of x^(3) -x^(2) + x -1 is ____

The factors of [(2)/(x^(4))-(1)/(x^(2))] will be

One factor of x^(4) +x^(2) +1 is

NCERT EXEMPLAR-POLYNOMIALS-Polynomials
  1. If x+1 is a factor of the polynomial 2x^(2)+kx, then the value ...

    Text Solution

    |

  2. x+1 is a factor of the polynomial

    Text Solution

    |

  3. One of the factors of (25 x^(2)-1) +(1+5x)^(2) is

    Text Solution

    |

  4. the value of 249^(2)-248^(2) is

    Text Solution

    |

  5. The factorisation of 4x^(2)+8x+3 is

    Text Solution

    |

  6. which of the following is a factor of (x+y)^(3)-(x^(3)+y^(3))?

    Text Solution

    |

  7. The coefficient of x in the expansion of (x+3)^(3)is

    Text Solution

    |

  8. if x/y + y/x = -1 ( x, y != 0 ) , then the value of x^3 -y^3 is

    Text Solution

    |

  9. If 49x^(2)-b=(7x+(1)/(2))(7x-(1)/(2)), then the value of b is

    Text Solution

    |

  10. If a+b+c=0, then a^(3)+b^(3)+c^(3) is equal to

    Text Solution

    |

  11. which of the following expressions are polynomials ? Justify yo...

    Text Solution

    |

  12. write whether the following statements are true or false , justif...

    Text Solution

    |

  13. Classify the following polynomials as polynomials in one variable...

    Text Solution

    |

  14. Determine the degree of each of the following polynomials. (i) ...

    Text Solution

    |

  15. For the polynomials (x^(3)+2x+1)/(5)-(7)/(2) x^(2)-x^(6) ,then wri...

    Text Solution

    |

  16. write the coefficient of x^(2) in each of the following (i)...

    Text Solution

    |

  17. Classify the follwing as a constant , linear , quadratic and cubi...

    Text Solution

    |

  18. Give an example of a polynomial , which is (i) Monomial of deg...

    Text Solution

    |

  19. find the value of the polynomial 3x^(3)-4x^(2)+7x-5, , when x=3...

    Text Solution

    |

  20. If p(x) =x^(2)-4x+3, then evaluate p(2) -p(-1)+p((1)/(2)).

    Text Solution

    |