Home
Class 9
MATHS
If (x-3) and (x-1/3) are factors of the ...

If `(x-3) and (x-1/3)` are factors of the polynomial `px^(2)+3x+r`, show that p=r.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    CBSE COMPLEMENTARY MATERIAL|Exercise Practice Test|8 Videos

  • POLYNOMIALS

    CBSE COMPLEMENTARY MATERIAL|Exercise True & False|22 Videos

  • NUMBER SYSTEMS

    CBSE COMPLEMENTARY MATERIAL|Exercise Part - D|18 Videos

  • PRACTICE QUESTION PAPER-2

    CBSE COMPLEMENTARY MATERIAL|Exercise PART D|7 Videos

Similar Questions

Explore conceptually related problems

If (x+2)and(x-1) are factors of the polynomial p(x)=x^(3)+10x^(2)+mx+n then

if both x-2 and x-(1)/(2) are factors of px^(2)+5x+r. then show that p=r.

Assertion : (x+2) and (x-1) are factors of the polynomial x^(4)+x^(3)+2x^(2)+4x-8 . Reason : For a polynomial p(x) of degree ge1, x-a is a factor of the polynomial p(x) if and only if p(a)ge1 .

If both x-2 and x-(1)/(2) are factors of px^(2)+5x+r, show that p=r

Show that (x-3) is a factor of the polynomial x^(3)-3x^(2)+4x-12

If (x+p) is a factor of the polynomial 2x^(2)+2px+5x10. find p.

Show that (x-3) is a factor of the polynomial x^(3)+x^(2)-17x+15 .

Find p and q so that (x + 2)" and "(x – 1) may be factors of the polynomial f(x) = x^(3) + 10x^(2) + px + q .

CBSE COMPLEMENTARY MATERIAL-POLYNOMIALS-Part C
  1. Simplify (x+y+z)^(3)-(x-y-z)^(2).

    Text Solution

    |

  2. Factories 125x^(3)+8y^(3)+z^(3)-30xyz.

    Text Solution

    |

  3. x+2 is a factor of polynomial ax^(3)+bx^(2)+x-2 and the remainder 4 is...

    Text Solution

    |

  4. If the polynomials a x^3+4 x^2 + 3x -4 and x^3 - 4x + a leave the sam...

    Text Solution

    |

  5. If ((9)/(10))^(3) -(2/5)^(3)-(1/2)^(3)=(x)/(50), find x

    Text Solution

    |

  6. If (x-3) and (x-1/3) are factors of the polynomial px^(2)+3x+r, show t...

    Text Solution

    |

  7. Using identify, find the value of (-7)^(3)+(5)^(3)+(2)^(3).

    Text Solution

    |

  8. Find the dimensions of cube whose volume is given by the expression. 4...

    Text Solution

    |

  9. Given possible expression for the length and breadth of each of the fo...

    Text Solution

    |

  10. A literacy caompaign was organised by Class IX girl students under NSS...

    Text Solution

    |

  11. Under tree plantation programme students of Class IX planted total (3x...

    Text Solution

    |

  12. I f a+b+c=0,f i n d t h e v a l u e((b+c)^2)/(b c)+((c+a)^2)/(c a)+((a...

    Text Solution

    |

  13. Simplify: ((a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3)/((a-b^3+(b-c)^3+(c-a)^...

    Text Solution

    |

  14. .Factorise: (2a-b-c)^(3)+(2b-c-a)^(3)+(2c-a-b)^(3)

    Text Solution

    |

  15. If the polynomial 4x^(3)-16x^(2)+ax+7 is exactly divisible by x-1, the...

    Text Solution

    |

  16. If p,q & r are all non zero and p+q+r=0, prove that p^(2)/(qr)+(q^(2))...

    Text Solution

    |

  17. Factories 9x^(3)-27x^(2)-100x+300

    Text Solution

    |

  18. If (x+4) is a factor of the polynomial x^(3)-x^(2)-14x+24, find the ot...

    Text Solution

    |

  19. x/y+y/x=-1( w h e r e ,x , y!=0) then find the value of x^3-y^3

    Text Solution

    |

  20. (155xx155+155xx55+55xx55)/(155xx155xx155-55xx55xx55)

    Text Solution

    |