if A and B are the zeroes of the quadratic polynomial f(x)= x2 -4x +3, find the value of (a4 b2 + a2 b4)
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Answered by
55
Answer:
We'll find the zeroes of this polynomial first:
x^2 - 4x + 3
=》 x^2 - x - 3x + 3
=》 x ( x - 1 ) - 3 ( x - 1 )
=》 ( x - 3 ) ( x - 1 )
=》 x = 3 , 1
Now, letting a = 1 and b = 3 :
=》
=》 9 ( 9 + 1 )
=》 9 × 10
=》 90
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