Home
Class 9
MATHS
If x=2 is a root of the polynomial f(x...

If `x=2` is a root of the polynomial `f(x)=2x^2-3x+7a ,` find the value of `a`
`if x=2, f(x)=0`

Text Solution

Verified by Experts

`if x=2, f(x)=0`
`=>2(2)^2-3(2)+7a=0`
`=>8-6+7a=0`
`=>7a=-2,a=-2/7`
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

If f(x)=x^3+2x then find the value of f(4)

If x=(4)/(3) is a root of the polynomial f(x)=6x^(3)-11x^(2)+kx-20, find the value of k

If x=(4)/(3) is a root of the polynomial f(x)=6x^(3)-11x^(2)+kx-20, find the value of k.

If x=0 and x=-1 are the roots of the polynomial f(x)=2x^(3)-3x^(2)+ax+b, find the value of a and b

If x=2 and x=0 are roots ofthe polynomial f(x)=2x^(3)-5x^(2)+ax+b. Find the values of a and b

If x=2 and x=0 are roots of the polynomial f(x)=2x^(3)-5x^(2)+az+b. Find the values of a and b.

If f(x)=x^(3)+2x , then find the value of f(3) .

Find rational roots of the polynomial f(x)=2x^(3)+x^(2)-7x-6

If a, ß are the zeroes of the polynomial f(x) = x^2 - 7x + 12 , then find the value of 1/alpha + 1/beta .

If 2f(x)+3f(-x)=x^(2)-x+1, find the value of f'(1)

RD SHARMA-FACTORIZATION OF POLYNOMIAL-All Questions
  1. Verify whether the indicated numbers are zeros of the polynomials co...

    Text Solution

    |

  2. Verify whether the indicated numbers are zeros of the polynomials co...

    Text Solution

    |

  3. If x=2 is a root of the polynomial f(x)=2x^2-3x+7a , find the value ...

    Text Solution

    |

  4. If x=-1/2 is a zero of the polynomial p(x)=8x^3-a x^2-x+2, find the ...

    Text Solution

    |

  5. If x=0 and x=-1 are the roots of the polynomial f(x)=2x^3-3x^2+a x+b ,...

    Text Solution

    |

  6. Find the integral roots of the polynomial f(x)=x^3-6x^2+11 x-6

    Text Solution

    |

  7. Find rational roots of the polynomial f(x)=2x^3+x^2-7x-6 Clearly f(...

    Text Solution

    |

  8. Let p(x)=x^4-3x^2+2x+5. Find the remainder when p(x) is divided by (...

    Text Solution

    |

  9. Find the remainder when p(y)=y^3+y^2+2y+3 is divided by y+2.

    Text Solution

    |

  10. Find the reminder when, p(x)=x^4-3x^2+2x+1 ,is divided by (x-1)

    Text Solution

    |

  11. Find the remainder when p(x)=x^3-a x^2+6x-a is divided by (x-a)dot

    Text Solution

    |

  12. Find the remainder when the polynomial ff(x)=2x^4-6x^3+2x^2-x+2 is d...

    Text Solution

    |

  13. Find the remainder when p(x)=4x^3-12 x^2+14 x-3 is divided by g(x)=x-1...

    Text Solution

    |

  14. Find the remainder when f(x)=x^3-6x^2+2x-4 is divided by g(x)=3x-1.

    Text Solution

    |

  15. Find the remainder when f(x)=x^3-6x^2+2x-4 is divided by g(x)=3x-1.

    Text Solution

    |

  16. If the polynomials a x^3+4x^2+3x-4 and x^3-4x+a leave the same remaind...

    Text Solution

    |

  17. The polynomials a x^3+3x^2-13 and 2x^3-5x+a are divided by x+2, if the...

    Text Solution

    |

  18. Let R1 and R2 are the remainders when the polynomials x^3+2x^2-5a x-7 ...

    Text Solution

    |

  19. If f(x)=x^4-2x^3+3x^2-a x+b is a polynomial such that when it is divid...

    Text Solution

    |

  20. Check whether the polynomial q(t)=4t^3+4t^2-t-1is a multiple of 2t+1

    Text Solution

    |