obtain all zeroes of the polynomial f(x)=2x^4+x^3-14x^2-19x-6,if two of its eroes are -2and -4.
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f(x) = 2x⁴+x³-14x²-19x-6
and
(x+2)
so
f(x) = (x+2)(2x³-3x²-8x-3)
f(x) = (x+2)(x-3)(2x²+3x+1)
f(x) = (x+2)(x-3)(2x+1)(x+1)
so all zeroes are
-2, 3, -1, and -1/2
hope it helps you
@di
and
(x+2)
so
f(x) = (x+2)(2x³-3x²-8x-3)
f(x) = (x+2)(x-3)(2x²+3x+1)
f(x) = (x+2)(x-3)(2x+1)(x+1)
so all zeroes are
-2, 3, -1, and -1/2
hope it helps you
@di
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