Question

if (x-2k) is a factor of f(x)= x⁴- 4k²K²+2x+3k+3 find 'k'​

Answer 1

Answer:

let p(x)=0

then,x-2k=0

x=2k

and

p(x)=x⁴-4k²k²+2x+3k+3

=(2k)⁴-4k²k²2(2k)+3k+3

: =16k⁴-16k⁴+3k+3

=3k+3

now,p(x)=0

so,3k+3=0

3k=-3

k=-1 ans

Answer 2

$\Huge\rm\red{Answer}$

let p(x)=0

then,x-2k=0

x=2k

and

p(x)=x²-4k²k²+2x+3k+3

=(2k)ª-4k²k²2(2k)+3k+3

: =16k4-16k4+3k+3

=3k+3

now,p(x)=0

so,3k+3=0

3k=-3

k=-1 ans

• I Hope it's Helpful My Friend.