5) Find the value of p2) .pl-2) - pfi) for the polynomial p(x) = 5x + 2
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Step-by-step explanation:
ANSWER
Given that,
p(x)=5x2+13x−a
Here, a=5,b=13 & c=−a
Let, the zeroes are α,α1
Product of zeroes (α×α1)=ac
⟹1=5−a
⟹5=−a
∴a=−5
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(i) p(x)=5x+2
p(2)=5(2)+2
=12
p(2)=12
(ii) LHS
p(l-2)=5(l-2)+2
=5l-10+2
p(l-2) =5l-8
RHS
p(fi)=5(fi)+2
=5fi+2
p(l-2)-p(fi)=5l-8-(5fi+2)
=5l-8-5fi-2
=5l-5fi-10
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