5. If x = 0 and x = -1 are the roots of the polynomial f(x) = 2x³ – 3x² + ax +b, find the value
of a and b.
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Answered by
1
Answer:
Hi,
f(x)=2x^3-3x^2+ax+b
i)If x=0 is the root of f(x).
Then f(0)=0
2(0)^3-3(0)^2+a×0+b=0
b=0------(1)
ii)If x=-1, then
f(-1)=0
2(-1)^3-3(-1)^2+a(-1)+b=0
-2-3-a+0=0, since b=0
-5-a=0
-a=5
a=-5
Therefore, a=-5, b=0
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Answered by
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Answer:
thanks for supporting
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