Home
Class 10
MATHS
If x+ 2 is a factor of x^(2) + ax + 2b a...

If `x+ 2` is a factor of `x^(2) + ax + 2b` and `a+b = 4` then a = …………..

A

3

B

2

C

`-1`

D

4

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    BEYOND PUBLICATION|Exercise EXERCISE|56 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    BEYOND PUBLICATION|Exercise EXERCISE|174 Videos
  • PROBABILITY

    BEYOND PUBLICATION|Exercise EXERCISE|136 Videos

Similar Questions

Explore conceptually related problems

If x-2 is a factor of x^(2)+6x+16b , then b =

Factors of x^(2) + x (a+ b) + ab = ………………..

If 1 is a common root of ax^(2) + ax + 2 = 0 and x^(2) + x + b = 0 "then" a.b =

If 2x + 3 is a factor of 2x^(3) - x - b + 9x^(2) then the value of b is ……………

If (x ^(2) -1) is a factor of ax ^(4) + bx ^(3) + cx ^(2) + dx +e, then show that a + c +e =b +d=0

If 2 is a root of x^2-(b+4)x + 6 = 0 , then b=…..

IF (x-2) is a common factor of the expression x^2 + ax + b and x ^2 + cx + d then (b-d) /( c-a ) =

If y = 2x is tangent to the curve y^2 = ax^3 + b at (1, 2) , then (a, b) =

If 8 and 2 are the roots of x^2 + ax + beta = 0 and 3,3 are the roots of x^2 + alpha x + b =0 then the roots of the equation x^2 + ax + b=0 are

Statement 1: If -2h =a+b , then one line of the pair of lines ax^(2)+2hxy+by^(2)=0 bisects the angle between coordinate axes in positive quadrant. Statement 2: If ax + y (2h + a) = 0 is a factor of ax^(2)+2hxy+by^(2)=0 , then b + 2h +a=0

BEYOND PUBLICATION-POLYNOMIALS-EXERCISE
  1. If x+ 2 is a factor of x^(2) + ax + 2b and a+b = 4 then a = …………..

    Text Solution

    |

  2. If p(x) = 2x^5-6x^4+3x-8, find coefficient of x

    Text Solution

    |

  3. If p(x) = 2x^5-6x^4+3x-8, find degree of p(x)

    Text Solution

    |

  4. If p(x) = 2x^5-6x^4+3x-8, find constant term

    Text Solution

    |

  5. If p(x) = 2x^5-6x^4+3x-8, find coefficient of x^4

    Text Solution

    |

  6. If p(x) = 17x^3+30x-62x^2+10x^4-3, find degree of p(x)

    Text Solution

    |

  7. If p(x) = 17x^3+30x-62x^2+10x^4-3, find coefficient of x^2

    Text Solution

    |

  8. If p(x) = 17x^3+30x-62x^2+10x^4-3, find sum of the coefficients of p...

    Text Solution

    |

  9. If p(x) = 17x^3+30x-62x^2+10x^4-3, find constant terms.

    Text Solution

    |

  10. If p(t) = 2t^3+5t-7, find the values of p(1), p(-1),p(0),p(2),p(-2).

    Text Solution

    |

  11. Check whether -3 and 3 are the zeroes of the polynomial x^4-81. [hin...

    Text Solution

    |

  12. Check whether 2 and -5 are the zeroes of the polynomial x^2+3x-10.

    Text Solution

    |

  13. Check whether -2 and 6 are the zeroes of the polynomial x^2-4x-12. ...

    Text Solution

    |

  14. State which of the following statements are true and which are false? ...

    Text Solution

    |

  15. State which of the following statements are true and which are false? ...

    Text Solution

    |

  16. State which of the following statements are true and which are false? ...

    Text Solution

    |

  17. State which of the following statements are true and which are false? ...

    Text Solution

    |

  18. State which of the following statements are true and which are false? ...

    Text Solution

    |

  19. Find the zeroes of the given polynomials p(x) = 5x

    Text Solution

    |

  20. Find the zeroes of the given polynomials p(x) = x^2+7x+12

    Text Solution

    |

  21. Find the zeroes of the given polynomials p(x) = (x+8)(x+5)

    Text Solution

    |