Question

If p(2)=0 for polynomial p(x) then one factor of p(x) is
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Answer 1

Given :    P(2) = 0  

To find : one factor of p(x)

Solution:

P(x) = 0

if we substitute x = a

& P (a ) = 0

=> a is a zero

&  x - a  is a factor

Now  

P(2) = 0

=> a = 2

Hence x - 2 is a factor

one factor of p(x) is x - 2 if  P(2) = 0  

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