If x = 2 and x = 0 are roots of the polyNOmial f(x) = 2x ^ 3; 5x^ 2 +ax+b, Then find the value of a and b respectively.
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Answer:
=2(2)
3
−5(2)
2
+a(2)+b=0
⇒16−20+2a+b=0⇒2a+b=4
⇒f(0)=2(0)
3
−5(0)
2
+a(0)+b=0
⇒b=0⇒2a=4⇒a=2,b=0
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