Problem

$(x+4)(x+6)(-(x-1)(x+7)$

Answer

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Answer

Thus, the final simplified form of the polynomial is \(\boxed{-x^4 - 16x^3 - 77x^2 - 74x + 168}\).

Steps

Step 1 :Given the expression $(x+4)(x+6)(-(x-1)(x+7)$, we need to simplify it.

Step 2 :First, we multiply the terms together. This gives us $-(x - 1)*(x + 4)*(x + 6)*(x + 7)$.

Step 3 :However, this expression is still in the form of a product of binomials. We need to expand it to get the final polynomial.

Step 4 :Expanding the expression, we get $-x^4 - 16x^3 - 77x^2 - 74x + 168$.

Step 5 :Thus, the final simplified form of the polynomial is \(\boxed{-x^4 - 16x^3 - 77x^2 - 74x + 168}\).

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