Home
Class 10
MATHS
If two of the zeros of the cubic polynom...

If two of the zeros of the cubic polynomial `a x^3+b x^2+c x+d` are each equal to zero, then the third zero is (a) ` d/a` (b) `c/a` (c) `-b/a` (d) `b/a`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA ENGLISH|Exercise All Questions|391 Videos
  • PROBABILITY

    RD SHARMA ENGLISH|Exercise All Questions|183 Videos

Similar Questions

Explore conceptually related problems

If one of the zeroes of the cubic polynomial ax^(3)+bx^(2)+cx+d is zero, the product of the other two zeroes is :

If two zeroes of the polynomial x^3+x^2-9x-9 are 3 and -3 , then its third zero is (a) -1 (b) 1 (c) -9 (d) 9

If the zeros of the polynomial f(x)=a x^3+3b x^2+3c x+d are in A.P., prove that 2b^3-3a b c+a^2d=0 .

The zero of 3x+2 is (a) 2/3 (b) 3/2 (c) -2/3 (d) (-3)/2

If the product of two zeros of the polynomial f(x)=2x^3+6x^2-4x+9 is 3 , then its third zero is (a) 3/2 (b) -3/2 (c) 9/2 (d) -9/2

If the zeroes of the polynomial x^3-3x^2+x+1 are a-b , a , a+b , find a and b .

If sqrt(5) and -sqrt(5) are two zeros of the polynomial x^3+3x^2-5x-15 , then its third zero is (a) 3 (b) -3 (c) 5 (d) -5

If the sum of the zeros of the polynomial f(x)=2x^3-3k x^2+4x-5 is 6 , then the value of k is (a) 2 (b) 4 (c) -2 (d) -4

If the zeros of the polynomial f(x)=x^3-3x^2+x+1 are a-b ,\ \ a ,\ \ a+b , find a and b .

If alpha,\ beta,\ gamma are the zeros of the polynomial f(x)=a x^3+b x^2+c x+d , then 1/alpha+1/beta+1/gamma= (a) b/d (b) c/d (c) -c/d (d) c/a

RD SHARMA ENGLISH-POLYNOMIAL-All Questions
  1. If alpha,\ beta are the zeros of polynomial f(x)=x^2-p(x+1)-c , then (...

    Text Solution

    |

  2. If alpha,\ beta are the zeros of the polynomial f(x)=x^2-p(x+1)-c such...

    Text Solution

    |

  3. Figure 2.23 show the graph of the polynomial f(x) = ax² + bx + c for w...

    Text Solution

    |

  4. Figure 2.23 shows the graph of the polynomial f(x)=a x^2+b x+c for wh...

    Text Solution

    |

  5. If the product of zeros of the polynomial f(x)=a x^3-6x^2+11 x-6 is 4,...

    Text Solution

    |

  6. If the product of two zeros of the polynomial f(x)=2x^3+6x^2-4x+9 is 3...

    Text Solution

    |

  7. If the polynomial f(x)=a x^3+b x-c is divisible by the polynomial g(x)...

    Text Solution

    |

  8. In Q. No 126, c= (a) b (b) 2b (c) 2b^2 (d) -2b

    Text Solution

    |

  9. If one root of the polynomial f(x)=5x^2+13 x+k is reciprocal of the ot...

    Text Solution

    |

  10. If alpha,\ beta,\ gamma are the zeros of the polynomial f(x)=a x^3+b x...

    Text Solution

    |

  11. If two of the zeros of the cubic polynomial a x^3+b x^2+c x+d are each...

    Text Solution

    |

  12. If two zeros of x^3+x^2-5x-5 are sqrt(5) and -sqrt(5) , then its third...

    Text Solution

    |

  13. The product of the zeros of x^3+4x^2+x-6 is .............................

    Text Solution

    |

  14. What should be added to the polynomial x^2-5x+4 , so that 3 is the zer...

    Text Solution

    |

  15. What should be subtracted to the polynomial x^2-16 x+30 , so that 15 i...

    Text Solution

    |

  16. A quadratic polynomial, the sum of whose zeroes is 0 and one zero i...

    Text Solution

    |

  17. If two zeroes of the polynomial x^3+x^2-9x-9 are 3 and -3 , then its t...

    Text Solution

    |

  18. If sqrt(5) and -sqrt(5) are two zeros of the polynomial x^3+3x^2-5x-15...

    Text Solution

    |

  19. If x+2 is a factor of x^2+a x+2b and a+b=4, then (a) a=1,\ b=3 (b) a=...

    Text Solution

    |

  20. The polynomial which when divided by -x^2+x-1 gives a quotient x-2 an...

    Text Solution

    |