Hi

a zero of the function f(x) = 4x^4 - 8x^3 - 19x^2 + 23x - 6 is:  x = -2

(x+2) a factor

Using Synthetic Division

					

-2	4	-8	-19	23	-6

		-8	32	-26	6

	4	-16	13	-3	0

 4x^3 - 16x^2 - 13x - 3 (3 a zero of this)

					

3	4	-16	 13	-3

		12	-12	3	

	4	-4	1	0	0

(x+2)(x-3)(4x^2 - 4x + 1) = (x+2)(x-3)(2x-1)^2

roots: -2, 3, 1/2(multiplicity of two)





 

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