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
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
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
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
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