Factor the polynomial f(x)=x4−9x3+14x2+36x−72 given that 6 and −2 are zeros. Factored form: f(x)=

Answer 1

6 | 1 -9 14 36 -72

6 -18 -24 72

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1 -3 -4 12 0

x^3-3x^2 - 4x + 12 = 0

x^2(x-3)-4(x-3) = 0

(x^2-4)(x-3) = 0

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

the solution set is x={2, -2, 3, 6}