Question

Find all the zeroes of the polynomial f(x)2x4-2x3-7x2+3x+6x if its two zeroes are √2/3 and √3/2

Answer 1

2×4-2×3-7×2+3x+6x
= 8-6-14+3×2×2/3+6×2×2/3
= -12 + 4 + 8
= -12 +12
= 0

so it is a zero of the polynomial.



2×4-2×3-7×2+3x+6x
=8-6-14+3×3×3/2+6×3×3/2
=-12 +27/2 +27
=-12+27 +27/2
=15+27/2

so it is not zero of the polynomial.


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