what is (x^4-2x^3-7x^2+8x+12)/x+1
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When we divide the given polynomial by x+1 we ontain quotient =x^3-3x^2-4x+12
Long division is pinned with it
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Answer:
x^4-2x^3-7x^2+8x+12
=x^4-3x^3+x^3-3x^2-4x^2+12x-4x+12
=x^3 (x-3)+x^2 (x-3)-4x (x-3)-4 (x-3)
=(x-3)(x^3+x^2-4x-4)
=(x-3)(x^3+2x^2-x^2-2x-2x-4)
=(x-3)[x^2 (x+2)-x (x+2)-2 (x+2)]
=(x-3)(x+2)(x^2-x-2)
=(x-3)(x+2)(x^2+x-2x-2)
=(x-3)(x+2)[x (x+1)-2 (x+1)]
=(x-3)(x+2)(x+1)(x-2)
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