Home
Class 10
MATHS
If the zeroes of the polynomial x^3-3x^2...

If the zeroes of the polynomial `x^3-3x^2+x+1` are a-d,a and a+d then a+d is
a)a natural number b)a rational number c)an irrational number d)an integer

A

a natural number

B

a rational number

C

an irrational number

D

an integer

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    R G PUBLICATION|Exercise EXAMPLES|16 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    R G PUBLICATION|Exercise EXERCISE|84 Videos
  • PROBABILITY

    R G PUBLICATION|Exercise EXERCISE|91 Videos

Similar Questions

Explore conceptually related problems

If the zeroes of the polynomial x^3-3x^2+x+1 are a-b,a,a+b,find a and b.

If the zeroes of the polynomial x^3-3x^2+x+ 1 are a -b , a, a + b , find a and b.

If the zeroes of the polynomial x^3- 12x^2+ 39x - 28 are a - b, a, a + b , find a and b.

If one zero of the polynomial 3x^3-x^2-3x+1 is 1, then find all the other zeros.

If 7-sqrt5 is a zero of the polynomial p(x)= x^3+bx^2+100x+c , then find b and c , where b and c are rational numbers.

3/4 is a zero of the polynomial 4x^3-23x^2+3x+9 , find the other zeroes.

2/3 is a zero of the polynomial 6x^3-31x^2+30x-8 . Find the other zeros.

If 4+sqrt5 is a zero of polynomial. x^3+bx^2-5x+c then find the b and c where b and c are rational numbers.

Two zeros of polynomial ax^3+bx^2+cx+d are zero then its third zero is a/b b/a -b/a d/c

Find if the following real number is rational or irrational: 5frac(1)(3)

R G PUBLICATION-POLYNOMIALS-EXAMPLES
  1. If the zeroes of the polynomial x^3-3x^2+x+1 are a-d,a and a+d then a+...

    Text Solution

    |

  2. Find the zeroes of the quadratic polynomial x^2+7x+12 and verify the r...

    Text Solution

    |

  3. Find the zeroes of the quadratic polynomial p(x)=2x^2+5x-12 and verify...

    Text Solution

    |

  4. Find the zeroes of the quadratic polynomial p(x)=4sqrt3x^2+5x-2sqrt3 a...

    Text Solution

    |

  5. Find the zeroes of the quadratic polynomial p(x)=abx^2+(b^2-ac)x-bc an...

    Text Solution

    |

  6. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+cthen f...

    Text Solution

    |

  7. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+cthen f...

    Text Solution

    |

  8. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+cthen f...

    Text Solution

    |

  9. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+c then ...

    Text Solution

    |

  10. If alpha and beta are the zeroes of the polynomial p(x)=ax^2+bx+c then...

    Text Solution

    |

  11. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+cthen f...

    Text Solution

    |

  12. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+cthen f...

    Text Solution

    |

  13. If alpha and beta are the zeroes of the quadratic polynomial p(x)=kx^2...

    Text Solution

    |

  14. If the sum of squares of zeroes of the quadratic polynomial p(x)=x^2-8...

    Text Solution

    |

  15. Find the condition that the zeroes of the polynomial f(x)=x^3-px^2+qx-...

    Text Solution

    |

  16. Find the zeroes of the polynomial p(x)=x^3-5x^2-2x+24 if it is given t...

    Text Solution

    |

  17. Find the values of a and b such that the polynomial x^4+x^3+8x^2+ax+b ...

    Text Solution

    |