Which of the following options correctly represents the complete factored form of the polynomial F(x) = x3 – x2 - 4x-6?
A. F(x) = (x+3)(x + 1)(x - 1)
B. F(x) = (x-3)(x +1+1)(x-1-i)
C. F(x) = (x-3)(x +1+1)(x +1 -i)
D. F(x) = (x+3)(x+1+1)(x +1-i)

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

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