Home
Class 8
MATHS
determine whether following are polynomi...

determine whether following are polynomial or not `2x^2/3−3x^2/2+x-5` (2)`x^3/2-3x^2+5x^(1/2)+x-1`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIRECT AND INVERSE VARIATIONS

    RD SHARMA ENGLISH|Exercise All Questions|58 Videos
  • FACTORISATION

    RD SHARMA ENGLISH|Exercise All Questions|98 Videos

Similar Questions

Explore conceptually related problems

Write the degree of each of the following polynomials : 2x^2+5x^2-7 (ii) 5x^2-3x+2 2x+x^2-8

Which of the following are polynomials ? (i) x^(2)-3x+1 " " (ii) x^(2)+5x+2 " "(iii) x-(1)/(y) " " (iv) x^(7)+8 " " (v) x^(3)+sqrt(x)-2 (vi) sqrt(2)x^(2)+x-1 " " (vii) (3x-1)(x+5) " " (viii) (x-(3)/(x))(x+2) " " (ix)2x^(2)-1 (x) x+(1)/(sqrt(x))+2

Find the coefficient of x^(2) in the polynomial : 2x^(3)-3x^(2)+5x(1-(x)/(2))+2x^(2)(x+7)-13

Which of the following is a zero of the polynomial x^(3)-x^(3)+2x-2 1. 1 2. -1 3. 2 4. -2

Use the Remainder Theorem to find which of the following is a factor of 2x^3 + 3x^2- 5x - 6. (i) x+1 (ii) 2x-1 (iii) x+2

In each of the following, determine whether the given values are solutions of the given equation or not: (i) x^2-3x+2=0,\ \ x=2,\ x=-1 (ii) x^2+x+1=0,\ \ x=0,\ x=1 (iii) x^2-3sqrt(3)x+6=0,\ \ x=sqrt(3),\ \ x=-2sqrt(3) (iv) x+1/x=(13)/6,\ \ x=5/6,\ \ x=4/3

Verify whether the following are zeroes of the polynomial, indicated against them.(i) p(x)=3x+1, x=-1/3 (ii) p(x)=5x-pi, x=4/5 (iii) p(x)=x^2-1, x=1,-1 (iv) p(x)=(x+1)(x-2), x=-1,2 (v) p(x)=x^2, x=0 (vi) p(x)=l x+m, x=-m/l

RD SHARMA ENGLISH-DIVISION OF ALGEBRAIC EXPRESSIONS-All Questions
  1. determine whether following are polynomial or not 2x^2/3−3x^2/2+x-5 ...

    Text Solution

    |

  2. 3-2x^2+4x^2y+8y-5/3x y^2 is a polynomial in two variables x and y .

    Text Solution

    |

  3. determine the degree of following (1) 2x+3 (2)2x^2-3x+7/5 (3)2a^2/3-7a...

    Text Solution

    |

  4. determine the degree (1)3x^4-2x^3y^3+7xy^3-3x^2y^2/4

    Text Solution

    |

  5. 2-3/4x ,1/2+3/5y ,2+3a etc. are linear polynomials True/False ?.

    Text Solution

    |

  6. 2x^2-3x+4,\ 2-x+x^2,\ 2y^2-3/2y+1/4 are quadratic polynomials.

    Text Solution

    |

  7. x^3-7x^2+2x-3,\ 2+1/2y-3/2y^2+4y^3 are cubic polynomials True/False ?.

    Text Solution

    |

  8. 3x^4-7x^3+x^2-x+9,4-2x^2/3+3x^4/5 are biquadratic polynomial

    Text Solution

    |

  9. Write the degree of each of the following polynomials : 2x^2+5x^2-...

    Text Solution

    |

  10. Write the degree of each of the following polynomials : 1/2y^7-12 ...

    Text Solution

    |

  11. Which of the following expressions are not polynomials? x^2+2x^(-2)...

    Text Solution

    |

  12. Write each of the following polynomials in the standard form. Also w...

    Text Solution

    |

  13. Divide 12 x^3y^3b y\ 3x^2y (ii) -15 a^2b c^3\ b y\ \ 3a b

    Text Solution

    |

  14. Divide: 25 x^3y^2\ by-15 x^2y (ii) -72 x^2y z\ by-12 x y z

    Text Solution

    |

  15. Divide: 6x^3y^2z^2\ \ by\ \ 3x^2y z (2) 15 m^2n^(3\ ) by\ 5m^2n^2 ...

    Text Solution

    |

  16. Simplify: (16 m^3y^2)/(4m^2y) (2) (32 m^2n^3p^2)/(4m n p)

    Text Solution

    |

  17. Divide: 9m^5+12 m^4-6m^2\ \ by\ \ 3m^2 (2)24 x^3y+20 x^2y^2-4x y\ ...

    Text Solution

    |

  18. Divide: 6x^4y z-3x y^3z+8x^2y z^2y z^4\ \ by\ \ 2x y z 2/3a^2b^2c^2...

    Text Solution

    |

  19. Divide: (i)x+2x^2+3x^4-x^5\ by 2x, (ii) y^4-3y^3+1/2y^2\ by 3y

    Text Solution

    |

  20. Divide: -4a^3+4a^2+a\ \ by 2a

    Text Solution

    |