Q. 12 D3.6( 16 Votes )
Both (x – 2) and 
are factors of the polynomial px2 + 5x + r, let us calculate and write the relation between p and r.
Answer :
The given polynomial is px2 + 5x + r.
Given that, (x – 2) is the factor of the polynomial, we have f(2) = 0.
So, f(2) = p(2)2 + 5(2) + r = 0
4p + 10 + r = 0 ……… (1)
Now, given that, 
is the factor of the polynomial, we have 
So, 
From (1), we get r = -4p – 10
So, we can say that the relation between p and r is r = -4p – 10.
⸫ the relation between p and r is r = -4p – 10.
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