Question

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Answer 1

Answer:

  A.  2x(x+1)(x-6); 0, -1, 6

Step-by-step explanation:

The zeros are the values of x that make the factors zero. That is, for binomial factors, they are the opposite of the constant in the binomial factor. For example, the factor (x+1) will be zero when x = -1, so that -1+1 = 0.

This observation eliminates choices B and C.

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The product of binomial factors looks like this:

  (x +a)(x +b) = x² +(a+b)x +ab . . . . . x-coefficient is (a+b)

Once 2x is factored from the given polynomial, the resulting quadratic is ...

  x^2 -5x -6

This means the sum of the constants in the binomial terms must be -5. That will only be the case for choice A.