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

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

a=-1,b=5
a=5,b=-1
a=1,b=3
a=3,b=1

A

a=-1,b=5

B

b=5,b=-1

C

a=1,b=3

D

a=3,b=1

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    R G PUBLICATION|Exercise EXAMPLES|16 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    R G PUBLICATION|Exercise EXERCISE|84 Videos

  • PROBABILITY

    R G PUBLICATION|Exercise EXERCISE|91 Videos

Similar Questions

Explore conceptually related problems

If x=1 is a common root of equations ax^2+ax+3=0 and x^2+x+b=0 then ab=

If the pair of equations 2x+3y=11 and (a+b)x+(2a-b)y=33 has infinitely many solution then a)a=-1,b=5 b)a=1,b=5 c)a=5,b=1 d)a=5,b=-1

Resolve into factors : (a+b)^2 - 2(a+b) +1

If x=a,y=b is the solution of the equations x-y=2 and x+y=4 then the values of a and b are respectively, a)3 and 1 b)-1 and -3 c)6 and 4 d)5 and 3

Is the function f : A rarr B one-one and onto? : A={1,2,3}, B={a,b,c}, f={(1,a),(2,b),(3,b)}

If x=1/3 , -1 are the roots of the equation ax^2+bx-1=0 ,find a and b.

Is the function f : A rarr B one-one and onto? : A={1,2,3},B={a,b,c,d},f={(1,a),(2,b),(3,c)}

Is the function f : A rarr B one-one and onto? : A={1,2,3,4}, B={a,b,c,d}, f={(1,a),(2,b),(3,c),(4,d)}

Is the function f : A rarr B one-one and onto? : A={1,2,3,4}, B={a,b,c}, f={(1,a),(2,a),(3,b),(4,c)}

Using (x+a)(x+b) = x^2 + (a+b)x + ab, find 5.1 x 5.2

R G PUBLICATION-POLYNOMIALS-EXAMPLES
  1. If x+2 is a factor of x^2+ax+2b and a+b=4 then a=-1,b=5 a=5,b=-1 ...

    Text Solution

    |

  2. Find the zeroes of the quadratic polynomial x^2+7x+12 and verify the r...

    Text Solution

    |

  3. Find the zeroes of the quadratic polynomial p(x)=2x^2+5x-12 and verify...

    Text Solution

    |

  4. Find the zeroes of the quadratic polynomial p(x)=4sqrt3x^2+5x-2sqrt3 a...

    Text Solution

    |

  5. Find the zeroes of the quadratic polynomial p(x)=abx^2+(b^2-ac)x-bc an...

    Text Solution

    |

  6. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+cthen f...

    Text Solution

    |

  7. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+cthen f...

    Text Solution

    |

  8. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+cthen f...

    Text Solution

    |

  9. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+c then ...

    Text Solution

    |

  10. If alpha and beta are the zeroes of the polynomial p(x)=ax^2+bx+c then...

    Text Solution

    |

  11. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+cthen f...

    Text Solution

    |

  12. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+cthen f...

    Text Solution

    |

  13. If alpha and beta are the zeroes of the quadratic polynomial p(x)=kx^2...

    Text Solution

    |

  14. If the sum of squares of zeroes of the quadratic polynomial p(x)=x^2-8...

    Text Solution

    |

  15. Find the condition that the zeroes of the polynomial f(x)=x^3-px^2+qx-...

    Text Solution

    |

  16. Find the zeroes of the polynomial p(x)=x^3-5x^2-2x+24 if it is given t...

    Text Solution

    |

  17. Find the values of a and b such that the polynomial x^4+x^3+8x^2+ax+b ...

    Text Solution

    |