If one zero of polynomial 3x2-10x+pis 1/3 then find the value of p
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Answered by
19
p(x) = 3x2 - 10x + p ( I suppose that by 2 you meant square)
now 1/3 is a zero polynomial, that means it divide the polynomial perfectly.
now using remainder theoram
p(1/3) = 3 (1/3)2 - 10(1/3) +p = 0
1/3 - 10/3 = -p
-3 = -p or p = 3
now 1/3 is a zero polynomial, that means it divide the polynomial perfectly.
now using remainder theoram
p(1/3) = 3 (1/3)2 - 10(1/3) +p = 0
1/3 - 10/3 = -p
-3 = -p or p = 3
Answered by
8
3x∧2-10x+p=p(1/3)
as it is one zero of the polynomial, the remainder weill be zero..
3(1/3)∧2-10(1/3)+p=0
3(1/9)-10/3+p=0
1/3-10/3=-p
-9/3=-p
p=3
pls mark as brainliest
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