Home
Class 10
MATHS
If both (x-2) and (x-(1)/(2)) are factor...

If both (x-2) and `(x-(1)/(2))` are factors of `(ax^(2)+5x+b)` show that a=b

Text Solution

Verified by Experts

The correct Answer is:
a=b
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • POLYNOMIALS

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 9.1)|6 Videos

  • POLYNOMIALS

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 9.2)|12 Videos

  • POLYNOMIALS

    OSWAAL PUBLICATION|Exercise TOPIC 4 FACTOR THEOREM AND FACTORIZATION ( SHORT ANSWER TYPE QUESTION)|6 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 3.7)|12 Videos

  • PROBABILITY

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 14.2)|4 Videos

Similar Questions

Explore conceptually related problems

If both (x-2) and (x - (1)/(2)) are fractors of p x ^(2) 5x +r, then show that p=r.

Show that (x-2) , (x+3) and (x-4) are factors of x ^(3) -3x ^(2) -10x + 24.

Knowledge Check

  • If x^(2)+x+1 is a factor of a x^(3)+b x^(2)+c x+d , then the real root of a x^(3)+b x^(2)+c x+d=0 is

    A
    `(d)/(a)`
    B
    `-(d)/(a)`
    C
    `-(b)/(a)`
    D
    ` -(c)/(a)`.

  • If a,b are the roots of x^(3)-5x^(2)-x+5=0 b is a root of

    A
    `x^(2)-5x+10=0`
    B
    `x^(2)+3x-20=0`
    C
    `x^(2)+5x-30=0`
    D
    `x^(2)-3x-10=0`

    • Similar Questions

    Explore conceptually related problems

    Show that (x-1) is a factor of x ^(n)-1.

    Show that (x +4) ,(x-3) and (x-7) are factors of x ^(3) - 6x ^(2) - 19 x + 84.

    Check whether (x-2) is a factor of x ^(3) - 2x ^(2) - 5x +4

    Find the value of a if (x - 5) is a factor of (x^(3)-3x^(2)+ax-10)

    Find the values of a and b if x^(2)-4 is a factor of ax^(4)+2x^(3)-3x^(2)+bx-4 and hence factorise it completely.

    If equations ax^(2)-bx+c=0 (where a,b,c epsilonR and a!=0 ) and x^(2)+2x+3=0 have a common root, then show that a:b:c=1:2:3

    Home
    Profile