Question

the value of k for which -4 is zero of polynomial x square minus x minus ( 2K plus 2)​

Answer 1

Question :-

• The value of k for which -4 is zero of polynomial x square minus x minus ( 2K plus 2)

Answer :-

• P (x) = $x^2$ - x - 20

Given :-

• One zero of the polynomial = -4

To find :-

• The value of K

Solution :-

$\implies\tt P (x) = x^2 - x-2k-2$

$\implies\tt P (-4) = 16-(-4)-2k-2$

$\implies\tt 0 = 16+4-2 k-2$

$\implies\tt 0=18-2k$

$\therefore\tt 2k = 18$

$\implies\tt k = \dfrac{ \cancel {18} }{\cancel{2} }$

$\large\implies\tt \boxed{ k = 9}$

$\therefore\tt Value \: of \: K \: = \: 9$

$\therefore\tt P (x) = x^2 - x -(18+2) = x^2 -x -20$