Home
Class 11
MATHS
If f(x)= (x^(2) +3x+2)(x^(2)-7x+a) and ...

If `f(x)= (x^(2) +3x+2)(x^(2)-7x+a) and`
`g(x)= (x^(2)-x-12) (x^(2) +5x+b)`, then
the values of a and b, if `(x+1)(x-4)` is HCF
of f(x) and g(x), are

A

a=10, b=6

B

a=4, b=12

C

a=12, b=4

D

a=6, b=10

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x) = x^(2)-1 and g(x) = (x+1)^(2) , then (gof) (x) is

If f(x) = 3x + 5 and g(x) = x^(2) - 1 , then (fog) (x^(2) - 1) is equal to

If f(x)=3x^(4)+4x^(3)-12x^(2)+12 , then f(x) is

If f (x) = (x ^(5) - 1 ) (x ^(3) + 1), g (x) = (x ^(2) - 1 ) (x ^(2) - x + 1 ) and h (x) be such that f (x) = g (x) h (x), then lim _( x to 1) h (x) is

If f(x) = (sin^(-1)x)/(sqrt(1-x^(2))) , then the value of (1-x^(2))f'(x) - x f(x) is

If f (x) = (x +2)/( 3x -1) , then f {f (x) } is

If f(x)=8x^3 and g(x)=x^(1/3) , find g(f(x)) and f(g(x))