Home
Class 8
MATHS
If p(x) = (x - 4)^p (x + 6)^5, q(x) = (x...

If `p(x) = (x - 4)^p (x + 6)^5, q(x) = (x + 6)^q (x - 4)^6` and `LCM` of `p(x)` and `g(x)` is `(x - 4)^6 (x + 6)^q`, then find the maximum value of `(p - q)`

A

`-1`

B

0

C

1

D

11

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS, LCM AND HCF OF POLYNOMIALS

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (LEVEL 2)|21 Videos

  • PERCENTAGES

    PEARSON IIT JEE FOUNDATION|Exercise Concept Application (LEVEL 3)|7 Videos

  • PROFIT AND LOSS , DISCOUNT AND PARTNERSHIP

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (LEVEL-3)|9 Videos

Similar Questions

Explore conceptually related problems

If f(x)=(x+2)^(7)(x+4)^(p),g(x)=(x+2)^(q)(x+4)^(9) and the LCM of f(x) and g(x) is (x+2)^(q)(x+4)^(9) ,then find the maximum value of p -q

If P (x) = (x ^(3) - 8) (x +1) and Q (x) = (x ^(3) +1) (x - 2), then find the LCM of P (x) and Q (x).

If P (x) = (x^(3) -8) (x+1) and Q (x) = (x^(3) +1) (x-2) , then find the LCM of P(x) and Q (x) .

A quadratic polynomial p(x) is given as p(x)=x^(2)-5x+6, then find the maximum value of (p(cos x))/(2)

If p(x) = x^3+3 and q(x)= x-3 then find the value of p(x).q(x)

If P = ( x ^(2) - 36)/( x ^(2) - 49) and Q = ( x + 6)/(x - 7) , then find the vlaue of ( P )/( Q).

The HCF of the polynomials 9(x +a)^(p) (x -b)^(q) (x + c)^(r) and 12(x + a)^(p +3) (x -b)^(q-3) (x +c)^(r +2) " is " 3(x +a)^(6) (x -b)^(6) (x + c)^(6) , then the value of p +q -r is

f(x) = (x (x-p))/(q - p) + (x (x - q))/(p - q) , p ne q. What is the value of f (p) + f(q) ?

If (x + 6) is a factor of f (x) = x ^(3) + 3x ^(2) + 4x + P, then find the value of P.