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Answer :
To find zeros and write Polynomial zeros as a product of linear factors, set the function equal to zero and solve for x.
To find the zeros of a polynomial function and write it as a product of linear factors, we need to set the function equal to zero and solve for x. Let's take a look at the provided exercises:
55. f(x) = x² + 2x + 1 can be factored as (x + 1)(x + 1) = 0, so the zeros are x = -1.
57. h(x) = x² - 4x + 15 can be factored as (x - 3)(x - 5) = 0, so the zeros are x = 3 and x = 5.
59. f(x) = x⁴ - 8x² + 16 can be factored as (x - 2)(x + 2)(x - 2)(x + 2) = 0, so the zeros are x = -2 and x = 2.
And so on for the rest of the exercises.
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