Consider the following polynomial inequality. x^(2)(x+8)(x-2)>0 Step 1 of 2: Write the polynomial inequality in the...

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Consider the following polynomial inequality. x^(2)(x+8)(x-2)>0 Step 1 of 2: Write the polynomial inequality in the form p(x)<0, p(x)<=0, p(x)>0, or p(x)>=0; then find the real zeros of p(x). Consider the following polynomial inequality. x^(2)(x+8)(x-2)>0 Step 1 of 2: Write the polynomial inequality in the form p(x)<0, p(x)<=0, p(x)>0, or p(x)>=0; then find the real zeros of p(x).

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To write the polynomial inequality in the form px 0 px 0 or px 0 we first need to find the real zeros of the polynomial The polynomial given is px x2x 8x 2 To find the real zeros we set px equal to zero and solve for x x2x 8x 2 0 Since the product of factors is zero at least one of the factors must be zero Therefore we have three cases to consider Case 1 x2 0 This implies that x 0 is a real zero ... View the full answer