Elenogidn
Answered

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write a polynomial function whose roots/zeros are -3,-2,0 and 1.​

Sagot :

Hencehenceidn

X=-3 X=-2 X=0 X=1

(Teanspose the number to know the factors)

X+3 X+2 X-0 X-1

factors: (x+3)(x+2)(x-0)(x-1)

Solving for the polynomial

(x+3)(x+2)(x-0)(x-1)

(x²+2x+3x+6)x(x-1)

(x²+5x+6)x(x-1)

(x²+5x²+6)(x-1)

x⁴-x³+5x³-5x²+6x²-6x

x⁴+4x³+x²-6x

(polynomial function whose roots are -3,-2,0,1)

End behavior: Case 3: The graph rises to the left and to the right