Question

if both (x-2) and (x-1/2) are factors px^ -5x +r , show that p=X.​

Answer 1

Answer:

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Step-by-step explanation:

Let (x-2)=0

x=2

p(2)= p(2)^-5(2)+r

=4p^-10+r---------{1}

x-(1/2)=0

x=1/2

p(1/2)=p(1/2)^-5(1/2)+r----------{2}

=p^/4-5/2+r

Here both x-2 and x-1/2 are factors so p(2) and p(1/2) are equal to 0

So 4p^-10+r=p^/4-5/2+r

Then solve it ull get p=x