Home
Class 9
MATHS
Using factor theorem, factorize each of ...

Using factor theorem, factorize each of the following polynomials : `3x^3-x^2-3x+1`

Text Solution

Verified by Experts

Let
`f(x)=3x^3-x^2-3x+1`
constant term=1
factor of 1`+-1`
for`4x+1=0 or x=-1`
`f(-1)=3(-1)^3-(-1)^2-3(-1)+1`
`=-3-1+3+1`
`f(-1)=0`
...
Promotional Banner

Topper's Solved these Questions

  • FACTORIZATION OF ALGEBRAIC EXPRESSIONS

    RD SHARMA|Exercise All Questions|226 Videos
  • GRAPHICAL REPRESENTATION OF STATISTICAL DATA

    RD SHARMA|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

Using factor theorem,factorize each of the following polynomials : x^(3)+2x^(2)-x-2

Using factor theorem,factorize each of the following polynomials: x^(3)-10x^(2)-53x-42

Using factor theorem,factorize each of the following polynomials: x^(3)+13x^(2)+32x+20

Using factor theorem, factorize the following polynomial : y^3−7y+6

Using factor theorem,factorize each of the following polynomials: x^(4)-2x^(3)-7x^(2)+8x+12

Using factor theorem,factorize each of the following polynomials: 2x^(4)-7x^(3)-13x^(2)+63x-45

Using factor theorem, factorize the following polynomial : x^4+10x^3+35x^2+50x+24

Factorize the following polynomials 1-8x+16x^(2)

Factorize the following polynomials 2x^(3)-7x^(2)+2x+3

Factorize the following polynomials x^(3)y^(3)+729

RD SHARMA-FACTORIZATION OF POLYNOMIAL-All Questions
  1. Using factor theorem, factorize each of the following polynomials : ...

    Text Solution

    |

  2. Using factor theorem, factorize each of the following polynomials : ...

    Text Solution

    |

  3. Using factor theorem, factorize each of the following polynomials : ...

    Text Solution

    |

  4. Using factor theorem, factorize each of the following polynomials : ...

    Text Solution

    |

  5. Using factor theorem, factorize each of the following polynomials : ...

    Text Solution

    |

  6. Using factor theorem, factorize each of the following polynomials : ...

    Text Solution

    |

  7. Which of the following expressions are polynomials in one variable a...

    Text Solution

    |

  8. Which of the following expressions are polynomials in one variable ...

    Text Solution

    |

  9. Which of the following expressions are polynomials in one variable a...

    Text Solution

    |

  10. Write the coefficient of x^2 in each of the following: 17-2x+7x^2 ...

    Text Solution

    |

  11. Write the coefficient of x^2 in each of the following: pi/6x^2-3x+...

    Text Solution

    |

  12. Write the degrees of each of the following polynomials: 7x^3+4x^2-3x...

    Text Solution

    |

  13. Write the degrees of each of the following polynomials: 7x^3+4x^2-...

    Text Solution

    |

  14. Classify the following polynomials as linear, quadratic, cubic and b...

    Text Solution

    |

  15. Classify the following polynomials as linear, quadratic, cubic and b...

    Text Solution

    |

  16. Classify the following polynomials as polynomials in one-variable, t...

    Text Solution

    |

  17. Classify the following polynomials as polynomials in one-variable, t...

    Text Solution

    |

  18. Identify polynomials in the following: f(x)=4x^3-x^2-3x+7 g(x)=2x^3...

    Text Solution

    |

  19. Identify polynomials in the following: f(x)=4x^3-x^2-3x+7 g(x)=2x^3...

    Text Solution

    |

  20. Identify polynomials in the following: f(x)=4x^3-x^2-3x+7 g(x)=2x^3...

    Text Solution

    |