Question

In the polynomial if zeros are given then how we can find the value of k

Answer 1

Hi Mate !!


Q. In the polynomial if zeros are given then how we can find the value of k ?

✴ Since , the Zeros are given I.e, if the polynomial is p ( x ) then the Zeros is given is the value of x

When we put the value of x in the p ( x ) we get Zero as resultant and can find !!

For eg.:- P ( x ) x² + 2kx - 1 = 0
Zeros is given as 1

then we put the value of x as 1

( 1 )² + 2 k × 1 - 1 = 0

1 + 2k - 1 = 0

2k = 0

k = 0/2

k = 0

Hence , we find the value of k as 0

to check :-

Put the value of k !!

x² + 2kx - 1 = 0

x² + 2x × 0 - 1 = 0

x² - 1 = 0

• Factorising it :-

[ a² - b² = ( a + b ) ( a - b ) ]

( x )² - ( 1 )² = 0

( x + 1 ) ( x - 1 ) = 0

• ( x + 1 ) = 0

x = ( - 1 )


• ( x - 1 ) = 0

x = 1

Hence , we get the value of x as 1
that means value of k is 0.