Question

If x=1 is a zero of polynomial $f(x)= x^{3}-2 x^{2}+4x+k$, write the value of k.

Answer 1

SOLUTION :  

Given : polynomial f(x) = x³ -2x² + 4x + k and x = 1 is a zero of f(x).

f(x) = x³ -2x² + 4x + k

f(1) = 1³ - 2(1)² + 4 ×1 + k  

Put f(x) = 0  

0 = 1 - 2 + 4 + k

0 = -1 + 4 + k

0 = 3 + k  

k = -3  

Hence, the value of k is -3 .

HOPE THIS ANSWER WILL HELP YOU...

Answer 2

Hi dear !!!

x = 1 is zero of polynomial .

so

f (x ) = x³ -2x² + 4x + k


f (1) = > (1)³ -2× (1)² + 4× 1 + k = 0

=> 1 -2+ 4 + k = 0

k = -3


hope it help you dear !!!!

thanks !!!