Find all the zeros of the function and write the polynomial as a product of linear factors. X² + 49 A)7i; (x + 7i)(x - 7i) B)-7i; (x + 7i)(x - 7i) C)±7i; (x + 7)(x - 7) D)-7i; (x + 7)(x - 7) E)±7i; (x + 7i)(x - 7i)

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The given function is a sum of a constant and a polynomial of degree two. Therefore, it can be factored into linear factors as (x + 7i)(x - 7i), where the zeros are ±7i. Choice E is the only option that includes this factorization. The other options either have the wrong zeros or have the factors in the wrong form (missing the i or having a minus sign instead of plus).

Find All the Zeros of the Function and Write the Polynomial