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Question :-
If 2 and 0 are the zeros of the polynomial
f(x) = 2x³ - 5x² + ax + b , then find the values of a and b
Answer :-
→ a = 2 , b = 0
To Find :-
→ a and b
Solution :-
Given that
→ f(x) = 2x³ - 5x² + ax + b
and f(2) = 0 , f(0) = 0
If 2 and 0 are the roots of this polynomial hence ,
these will satisfy to the given polynomial.
(1) when x = 2
→ f(2) = 0 = 2 (2)³ - 5 (2)² + 2a + b
→ 0 = 16 - 20 + 2a + b
→ 0 = -4 + 2a + b
→ 2a + b = 4 ......eq.(1)
(2) When x = 0
→ f(0) = 0 = 0 - 0 + 0 + b
→ b = 0 put in eq.(1)
so,eq.(1) will be
→ 2a + 0 = 4
→ a = 2 ,b = 0
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