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Zero of Polynomial:


If P(x) is a polynomial. A value of x for which P(x)=0 is called
a) degree of polynomial                    
b) zero of polynomial
c) both a and b                    
d) zero of function

b


d



Let P(x)be a polynomial .A linear polynomial x-r is a factor of p(x) if and only if r is zero of the polynomial P(x)is called
a) Factor theorem             
b) reminder theorem     
c) Factor and reminder theorem 

a

If P(x) = (x – r) Q (x) + R and R= 0 what is the value of p(x)
a)  P(x)=(x-r)Q(x)+0 
b) P(x)=(x – r)Q(x)     
c)both a and b 
d) P(x)=(x – r)Q(x)+r

c

If P(x)=(x-r)Q(x)+R and R=0 what is the value of p(r) at x=r
a) 0           
b) 1                         
c) 3         
d) 4

a

Explanation:P(x)=(x-r)Q(x)+R at R=0
P(x)=(x-r)Q(x)+0= P(x)=(x-r)Q(x) at x=r
P(r)=(r-r)Q(r)=0