Question

Find all the zeros of the polynomial 4xsquare_20xcube+23xsquare+5x_6. If two of its zeros are 2 and 3

Answer 1

Answer:

4x⁴ - 20x³ + 23x² + 5x - 6

if 2&3 are roots of this eq. then (x-2)(x-3) must be the factors.

so we get (x-2)(x-3)(4x²-1)

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

therefore zeroes are 2,3,1/2,-1/2

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