Home
Class 10
MATHS
If two zeros of x^3+x^2-5x-5 are sqrt(5)...

If two zeros of `x^3+x^2-5x-5` are `sqrt(5)` and `-sqrt(5)` , then its third zero is (a) `1` (b) `-1` (c) `2` (d) `-2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA ENGLISH|Exercise All Questions|391 Videos

  • PROBABILITY

    RD SHARMA ENGLISH|Exercise All Questions|183 Videos

Similar Questions

Explore conceptually related problems

If two zeroes of the polynomial x^3+x^2-9x-9 are 3 and -3 , then its third zero is (a) -1 (b) 1 (c) -9 (d) 9

If two zeroes of the polynomial x^3- 4x^2-3x +12 are sqrt3 and -sqrt3 , then find its third zero.

If sqrt(5) and -sqrt(5) are two zeros of the polynomial x^3+3x^2-5x-15 , then its third zero is (a) 3 (b) -3 (c) 5 (d) -5

If the two zeros of polynomial f(x) = x^3 - 4 x^2 -3x + 12 are sqrt3 and -sqrt3 ; then find its third zero.

If x=sqrt(5)+\ 2, then x-1/x equals (a) 2sqrt(5) (b) 4 (c) 2 (d) sqrt(5)

If two of the zeros of the cubic polynomial a x^3+b x^2+c x+d are each equal to zero, then the third zero is (a) d/a (b) c/a (c) -b/a (d) b/a

Factorise: sqrt5 x^(2) + 2x- 3sqrt5

If x=(7+5sqrt(2))^(1/3) -1/((7+5sqrt(2))^(1/3) , then the value of x^3+3x-14 is equal to 1 (b) 0 (c) 2 (d) 4

Number of real solutions of sqrt(2x-4)-sqrt(x+5)=1 is (a) 0 (b) 1 (c) 2 (d) infinite

obtain all the zeroes of 3x^4+6x^3-2x^2-10x-5 if two of its zeroes are sqrt(5/3) and -sqrt(5/3)

RD SHARMA ENGLISH-POLYNOMIAL-All Questions
  1. If alpha,\ beta are the zeros of polynomial f(x)=x^2-p(x+1)-c , then (...

    Text Solution

    |

  2. If alpha,\ beta are the zeros of the polynomial f(x)=x^2-p(x+1)-c such...

    Text Solution

    |

  3. Figure 2.23 show the graph of the polynomial f(x) = ax² + bx + c for w...

    Text Solution

    |

  4. Figure 2.23 shows the graph of the polynomial f(x)=a x^2+b x+c for wh...

    Text Solution

    |

  5. If the product of zeros of the polynomial f(x)=a x^3-6x^2+11 x-6 is 4,...

    Text Solution

    |

  6. If the product of two zeros of the polynomial f(x)=2x^3+6x^2-4x+9 is 3...

    Text Solution

    |

  7. If the polynomial f(x)=a x^3+b x-c is divisible by the polynomial g(x)...

    Text Solution

    |

  8. In Q. No 126, c= (a) b (b) 2b (c) 2b^2 (d) -2b

    Text Solution

    |

  9. If one root of the polynomial f(x)=5x^2+13 x+k is reciprocal of the ot...

    Text Solution

    |

  10. If alpha,\ beta,\ gamma are the zeros of the polynomial f(x)=a x^3+b x...

    Text Solution

    |

  11. If two of the zeros of the cubic polynomial a x^3+b x^2+c x+d are each...

    Text Solution

    |

  12. If two zeros of x^3+x^2-5x-5 are sqrt(5) and -sqrt(5) , then its third...

    Text Solution

    |

  13. The product of the zeros of x^3+4x^2+x-6 is .............................

    Text Solution

    |

  14. What should be added to the polynomial x^2-5x+4 , so that 3 is the zer...

    Text Solution

    |

  15. What should be subtracted to the polynomial x^2-16 x+30 , so that 15 i...

    Text Solution

    |

  16. A quadratic polynomial, the sum of whose zeroes is 0 and one zero i...

    Text Solution

    |

  17. If two zeroes of the polynomial x^3+x^2-9x-9 are 3 and -3 , then its t...

    Text Solution

    |

  18. If sqrt(5) and -sqrt(5) are two zeros of the polynomial x^3+3x^2-5x-15...

    Text Solution

    |

  19. If x+2 is a factor of x^2+a x+2b and a+b=4, then (a) a=1,\ b=3 (b) a=...

    Text Solution

    |

  20. The polynomial which when divided by -x^2+x-1 gives a quotient x-2 an...

    Text Solution

    |