Home
Class 10
MATHS
If (x-3) is the HCF of x^(3) - 2x^(2) +p...

If `(x-3)` is the HCF of `x^(3) - 2x^(2) +px + 6 and x^(2) - 5x +q, ` find `6p +5q`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIKSHA QUESTIONS

    OSWAL PUBLICATION|Exercise UNIT -I : NUMBER SYSTEM (REAL NUMBER ) (Long Answer Type Questions) |7 Videos

  • DIKSHA QUESTIONS

    OSWAL PUBLICATION|Exercise Unit -II : Algebra (Polynomials) (Multiple Choice Questions)|10 Videos

  • DIKSHA QUESTIONS

    OSWAL PUBLICATION|Exercise UNIT -VII: Statistics and Probability (Probability) (Long Answer Type Questions )|12 Videos

  • COORDINATE GEOMETRY

    OSWAL PUBLICATION|Exercise SELF ASSESSMENT |20 Videos

  • INTRODUCTION TO TRIGONOMETRY

    OSWAL PUBLICATION|Exercise Self - Assessment |15 Videos

Similar Questions

Explore conceptually related problems

What is the HCF of x^(3) - 19x + 30 and x^(2) - 5x +6 ?

Find the HCF of x^2 - 5x + 6 and x^2 - 9

Knowledge Check

  • The HCF of (x^(2)-4)(x^(2)-5x-6) and (x^(2)+x-6) is :

    A
    1
    B
    `x+2`
    C
    `x-2`
    D
    `(x^(2)+x-6)`

  • If P = 8x^(4) + 6x^(3) - 15x^(2) + 27x - 20 and Q = 2x^(2) + 3x - 4 , then find the remainder when P is divide by Q.

    A
    0
    B
    `-1`
    C
    `-8`
    D
    `-4`

  • If P = 8x^(4) + 6x^(3) - 15 x^(2) + 27 x - 20 and Q = 2x^(2) + 3x - 4 , then find the remainder when P is divided by Q .

    A
    0
    B
    `-1`
    C
    `-8`
    D
    `-4`

    • Similar Questions

    Explore conceptually related problems

    If (x+5) is the HCF of (x^(2)+2x3b) and (6x^(3)+ax^(2)+3x-10), then a-2b=

    What is the HCF of the polynomials x^(3) + 8, x^(2) + 5x + 6 and x^(3) + 2x^(2)+ 4x + 8 ?

    If 2 + isqrt3 is a root of x^(3) - 6x^(2) + px + q = 0 (where p and q are real) then p + q is

    If x^(2)+2x-5 is a factor of x^(4)-2x^(3)+px^(2) +qx-35 , then find the value of p^(2)-q .

    If x^(2) - 3x + 2 is factor of x^(4) - px^(2) + q then 2q - p is equal to

    Home
    Profile