Home
Class 10
MATHS
If the polynomial f(x) = 2x^3 + mx^2 + n...

If the polynomial `f(x) = 2x^3 + mx^2 + nx - 14` has (x - 1) and (x + 2) as its factors, find the value of m x n.

Text Solution

Verified by Experts

The correct Answer is:
27
Promotional Banner

Topper's Solved these Questions

  • FUNDAMENTALS OF ALGEBRA

    MCGROW HILL PUBLICATION|Exercise Multiple Choice Questions|23 Videos
  • FOLDING PAPER CUTTING

    MCGROW HILL PUBLICATION|Exercise EXERCISE|15 Videos
  • HEIGHTS AND DISTANCES

    MCGROW HILL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|41 Videos

Similar Questions

Explore conceptually related problems

Find the values of a and b so that 2x^(3)+ax^(2)+bx-14 has (x-1) and (x+2) are its factors.

If the polynomial f(x) =x^(3) + ax^(2) + bx +6 is divded by (x-3), the remainder is 3. Also, (x-2) is a factor of the polynimal f (x). Find the value of a and b.

If the polynomial f (x) = x ^(3) + ax ^(2) + bx + 6 is divided by (x - 3), the remainder is 3. Also (x - 2) is a factor of the polynomial f (x). Find the vaue of a and b.

If (x-1) and (x-2) are two factors of x^(3)-ax^(2)+14x +b then find the value of a and b.

If f(x)=2x^(3)+mx^(2)-13x+n and 2 and 3 are 2 roots of the equations f(x)=0, then values of m and n are

Find the value of a and b so that the polynomial x^(3)-ax^(2)-13x+b has (x-1) and (x+3) as factors.

Find the values of m and n, if (x-m) and (x-n) are the factors of the expression x^(2)+mx-n

If the function y = m log x + nx^(2) +x has its critcal points at x = -1 and x =2 then the values of m and n respectively are

MCGROW HILL PUBLICATION-FUNDAMENTALS OF ALGEBRA-Multiple Choice Questions
  1. If the polynomial f(x) = 2x^3 + mx^2 + nx - 14 has (x - 1) and (x + 2)...

    Text Solution

    |

  2. If m=2, n=3, p=4, q=0,r= 7 and s = 10, then the expression (3m+2n)/(q+...

    Text Solution

    |

  3. If a = 29, b = 24 and c = 27, find the value of a^3+b^3+c^3-3abc

    Text Solution

    |

  4. If x = 16, y = 10, z = 5 and t=-1, find the value of (x-y)(5sqrtx-y)+s...

    Text Solution

    |

  5. The simplified value of the expression (a+b-c)^2+2(a+b-c)(a-b+c)+(a-b+...

    Text Solution

    |

  6. The value of (x-y)^3+(x+y)^3+3(x-y)^2(x+y)+3(x+y)^2(x-y) is

    Text Solution

    |

  7. If p+q=2 , pq=1 then the value of p^3+q^3+6p^2+5q^2+6pq is

    Text Solution

    |

  8. If x-1/x=3, then the value of x^3-1/x^3 is

    Text Solution

    |

  9. If x=3, y=2 and z=-1 , then the value of (x^3+y^3+1)/(y^3-z^3) is

    Text Solution

    |

  10. If a = 15, b = 12 and c= 9, find the value of sqrt(((2a+2b)(2c+a))/(2(...

    Text Solution

    |

  11. If x=40, y=43, z=47 , find the value of x^3+y^3+z^3-3xyz.

    Text Solution

    |

  12. If P varies directly as QR and the values of P, Q. R be 6, 9, 10 repec...

    Text Solution

    |

  13. If (x+a) is a factor of f(x)=x^3+ax^2-2x+a+4 , then a is

    Text Solution

    |

  14. If m is any positive integer, then the last two digits in the expressi...

    Text Solution

    |

  15. If (x-a)/(b+c)+(x-b)/(c+a)+(x-c)/(a+b)=3 then value of x is

    Text Solution

    |

  16. The value of x that satisfies the equation 4/(x-3)+5/(x-5)=9/(x-13) is

    Text Solution

    |

  17. If 0.3x -0.37 = 0.37x -0.3, then x has the value

    Text Solution

    |

  18. If x/6+y/15=4 and x/3-y/12=4 3/4 find x and y.

    Text Solution

    |

  19. If x+y=sqrt3, x-y=sqrt2, then the expression 8xy(x^2+y^2) has the valu...

    Text Solution

    |

  20. In a pair of fractions, fraction A is twice the fraction B and the ...

    Text Solution

    |

  21. The difference between the numerator and the denominator of a fraction...

    Text Solution

    |