Respuesta :
Answer:
-1, 2, 0.5, 0.5
Step-by-step explanation:
[tex]4x^4 - 8x^3 - 3x^2 + 7x - 2[/tex]
Using synthetic division for x=-1 we find that
-1 4 -8 -3 7 -2
-4 12 -9 2
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4 -12 9 -2 0
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Thus quotient is [tex]4x^3 - 12x2 + 9x - 2[/tex]
Again try synthetic division by x-2
2 4 -12 9 -2
8 -8 2
-----------------------------------
4 -4 1 0
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Thus quotient is [tex]4x^2-4x+1\\=(2x-1)^2[/tex]
Hence zeroes of the polynomial f(x) are
-1, 2, 0.5, 0.5
Answer:
Second half of the question: Based on the synthetic division shown, 1/2 is DEFINITELY A ROOT of the polynomial.
Step-by-step explanation:
