what should be added to the polynomial x ^2-5x+4 so that 3 is the zero of the polynomial

Asked by hvsl123 | 24th Jun, 2021, 05:30: PM

Expert Answer:

Let f(x) = x2 -5x + 4 
 
Let g(x) = f(x) +k = x2 -5x +(4+k)
 
if 3 is zero of polynomial g(x) , then g(3) = 0
 
g(3) = (3)2 -5(3) +(4+k) = (4+k) - 6 = 0  or  k = 2 
 
If we add 2 to polynomial ( x-5x + 4 ) , Then polynomial becomes ( x-5x + 6 ) 
 
3 is zero of polynomial ( x-5x + 6 ) 

Answered by Thiyagarajan K | 19th Sep, 2021, 04:22: PM