Home
Class 10
MATHS
Check whether '(x+2)' and '(x-5)' are fa...

Check whether '(x+2)' and '(x-5)' are factors of the polynomial `x^2+7 x+10`

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS OF CHANCE

    V PUBLICATION|Exercise QUESTION BANK|62 Videos

  • SECOND DEGREE EQUATIONS

    V PUBLICATION|Exercise QUESTION BANK|61 Videos

Similar Questions

Explore conceptually related problems

Check whether (x-3) is a factor of the polynomial 2 x^3-x^2-3 x+4

Check whether x - 1 is a factor of 3x^3-2x^2-3x+2 .

If x-1 is a factor of the polynomial 5x^3-4x^2+x-k ,what number is k?

What number should be added to the polynomial p(x)=x^2+x-1 , so that '(x-2)' is a factor of the new polynomial?

What number should be added to the polynomial x^3-2 x^2+x-4 to get (x-2) as a factor of the polynomial?

Write the solution of polynomials p(x) = x^2-7x+12 .

Check whether h(x)=abs(1-x+absx) is continious at origin.

In the polynomial x^2+k x+6 , what number must be taken as 'k' to get a polynomial for which 'x-1' is a factor? Find also the other factor of that polynomial.

If (x-1) is a factor of the polynomial 5 x^3-4 x^2+x-k , what number is 'k' ?

In the polynomial p(x)=x^2+4x+k , upto what number can we take as k,so that p(x) can be factorized as a product of two first degree polynomials?

V PUBLICATION-POLYNOMIÁS-QUESTION BANK
  1. For what values of 'x', the polynomial 2 x^2-7 x-15 is equal to zero? ...

    Text Solution

    |

  2. Given 'x-1' is a factor of x^2+a x+b Prove that 'a+b=-1'

    Text Solution

    |

  3. Write the polynomial p(x)=x^2+4 x+1 as the product of two first degree...

    Text Solution

    |

  4. In the polynomial p(x)=x^2+a x+b, p(3+sqrt2)=0, p(3-sqrt...

    Text Solution

    |

  5. What is the smallest natural number k for which the polynomial 2 x^2+k...

    Text Solution

    |

  6. Check whether '(x+2)' and '(x-5)' are factors of the polynomial x^2+7 ...

    Text Solution

    |

  7. p(x)=x^2-4 x+4 a) Prove that (x-2) is a factor of p(x). b) Prove tha...

    Text Solution

    |

  8. If x^2+x+2=(x-2)(x+a)+b a) Find 'a' and 'b'. b) What number should b...

    Text Solution

    |

  9. Write a second degree polynomial 'p(x)' in which p(sqrt2+1)=p(sqrt2-1)...

    Text Solution

    |

  10. a) Find 'p(1)' if p(x)=x^2+2 x+5 b) If (x-1) is a factor of x^2+2 x+...

    Text Solution

    |

  11. If x-1 is a factor of the second degree polynomial P(x)=ax^2+bx+c and ...

    Text Solution

    |

  12. If (x-1) is a factor of the polynomial 5 x^3-4 x^2+x-k, what numbe...

    Text Solution

    |

  13. Consider the polynomial p(x)=a x^3-x^2-b x-1 a) Find 'p ( 1 )' b) ...

    Text Solution

    |

  14. Consider the polynomial p(x)=x^3+a x^2-x+b a) Find the relation bétwe...

    Text Solution

    |

  15. p(x)=a x^3+b x^2+c x+d a) Find 'p(-1)' b) If (x+1) is a factor of ...

    Text Solution

    |

  16. Check whether (x-3) is a factor of the polynomial 2 x^3-x^2-3 x+4

    Text Solution

    |

  17. Write the polynomial x^2-3 x+2 as the product of two first degree poly...

    Text Solution

    |

  18. What is the maximum value of 'k', for which the polynomial x^2-x+k can...

    Text Solution

    |

  19. What number should be added to the polynomial x^3-2 x^2+x-4 to get (x...

    Text Solution

    |

  20. Prove that the value of the polynomial x^2-6 x+9 cannot be negative nu...

    Text Solution

    |