Question 12 • Math 3
The Fundamental Theorem of Algebra says a polynomial has as many complex roots as its degree, counting multiplicity. In choice B, (x + 2)^3 has degree 3, and (x^2 − 7x + 3)^4 has degree 2 × 4 = 8, so the product has degree 3 + 8 = 11. Therefore, choice B, the function (x + 2)^3(x^2 − 7x + 3)^4, has exactly 11 roots.
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