Find all the zeroes of the polynomial f(x)2x4-2x3-7x2+3x+6x if its two zeroes are √2/3 and √3/2
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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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= 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.
HOPE THIS ANSWER WILL HELP YOU!
if it is help then plz mark as brainliest.
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