Question

If 4x^2-1is a factor of 4x^4-12x^3+ax^2+3x-b then find the values of a and b

Answer 1

Answer:

a= -1 b= 0

Step-by-step explanation:

a/q 4x^2-1 is a factor of f(x)= 4x^4-12x^3+ax^2+3x-b

=> finding roots of 4x^2-1

=>(2x)^2=1

=>x=+1/2,-1/2

=>using factor theorem

=>f(+1/2)=4×(1/2)^4-12×(1/2)^3+a×(1/2)^2+3×1/2-b=0

=>on solving we get a-4b+1=0. eq 1

now on solving f(-1/2) we get a-4b+1=0

hit and trial

We get a= -1 and b=0 as answer

Answer 2

Answer:

a=-1 and B=0 is the answer of this question