if p(2)=0 for polynomial p(x),then one factor of p(x) is
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(x-2) is one of the factor of p(x)
Step-by-step explanation:
Factor theorem :
If p(x) is a polynomial of degree n > 1 and ‘a’ is any real
number, then
(i) x − a is a factor of p(x), if p(a) = 0 (ii) and its converse, then (i) x − a is a factor of p(x), if p(a) = 0 (ii) and its converse
, then (i) x − a is a factor of p(x), if p(a) = 0 (ii) and its converse“if (x − a) is a factor of a polynomial p(x) then p(a) = 0.
so, p(2) =0 ,so (x-2) is a factor of p(x)
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