Home
Class 10
MATHS
A teacher asked 10 of his students to wr...

A teacher asked 10 of his students to write a polynomial in one variable on a paper and then to handover the paper. The following were the answer given by the students: ``2x+3`,`3x^2+7x+2`,`4x^3+3x^2+2`,`x^3+sqrt(3x)+7`,`7x+sqrt7`,`5x^3-7x+2`,`2x^3+3-5/x`,`5x-1/2`,`ax^3+bx^2+cx+d`,`x+1/x`. Answer the following questions: How many of the above ten are not polynomials?

Promotional Banner

Topper's Solved these Questions

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    AGRAWAL PUBLICATION|Exercise EXAMPLE|54 Videos

  • QUADRATIC EQUATIONS

    AGRAWAL PUBLICATION|Exercise EXAMPLE|78 Videos

Similar Questions

Explore conceptually related problems

sqrt(3x^(2)-7x-30)-sqrt(2x^(2)-7x-5)=x-5

What is the number of zeroes of the polynomial 3x^2+7x-5 ?

The zeros of the polynomial 7x^(2) - (11x)/3 - 2/3 are

Solve sqrt(3x^2-7x-30)+sqrt(2x^2-7x-5)=x+5.

If sum of two polynomials is 5x^(2)+3x-1 . If one of them is 3x^(3)-2x+7 . Find the other.

Divide the first polynomial by the second polynomial in each of the following.Also, write the quotient and remainder: 3x^(2)+4x+5,x-2( ii) 10x^(2)-7x+8,5x-35y^(3)-6y^(2)+6y-1,5y-1

Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial: x^(2)+3x+1,3x^(4)+5x^(3)-7x^(2)+2x+2

Verify that the numbers given alongside the cubic polynomials below are their zeros. Also verify the relationship between the zeros and the coefficients. (i) x^(3) - 2x^(2) - 5x +6, -2,1,3 , (ii) 2x^(3) + 7x^(2) + 2x-3, 3,-1, 1/2

AGRAWAL PUBLICATION-POLYNOMIALS-EXAMPLE
  1. If one of the zeros of polynomial p(x)=(k-1)x^2-kx+1 is -3, find the v...

    Text Solution

    |

  2. If alpha and beta be the roots of the equation x^2-1=0, then show that...

    Text Solution

    |

  3. A teacher asked 10 of his students to write a polynomial in one variab...

    Text Solution

    |

  4. A teacher asked 10 of his students to write a polynomial in one variab...

    Text Solution

    |

  5. If one of the zeroes of the quadratic polynomial f(x)=4x^2-8kx-9 is eq...

    Text Solution

    |

  6. can (x-5) be the remainder on division of a polynomial p(x) by (x+8)?

    Text Solution

    |

  7. If the zeros of the polynomial x^3-2x^2+x+1 are a-b, a and a+b, then f...

    Text Solution

    |

  8. What number should be added to the polynomial x^2-5x+4 so that 3 is th...

    Text Solution

    |

  9. If the zeroes of a quadratic x^2-8x+k=0 is the HCF of (6,12), then fin...

    Text Solution

    |

  10. Find the quadratic polynomial sum and product of whose zeroes are -1 a...

    Text Solution

    |

  11. Find the quadratic polynomial whose zeroes are reciprocals of the zero...

    Text Solution

    |

  12. If the zeroes of the polnomial x^2+px+q are double the value to the ze...

    Text Solution

    |

  13. Find the value of k such that the equation x^(2)-(k+6)x+2(2k-1)=0 has ...

    Text Solution

    |

  14. Find the zeroes of following polynomials by factorisation method and v...

    Text Solution

    |

  15. Find the zeroes of following polynomials by factorisation method and v...

    Text Solution

    |

  16. Find the zeroes of following polynomials by factorisation method and v...

    Text Solution

    |

  17. Find a quadratic polynomial whose zeroes are 1 and -3. Verify the rela...

    Text Solution

    |

  18. If one root of the equation 3x^2-8x+2k+1=0 is seven times the others, ...

    Text Solution

    |

  19. Without actually calculating the zeroes, form a quadratic polynomial w...

    Text Solution

    |

  20. Obtain other zeroes of the polynomial f(x)=2x^4+3x^3-5x^2-9x-3 if two ...

    Text Solution

    |