Use the linear factorization theorem to construct a polynomial function with the given condition.  n=3 with real coefficients; zeros = -4, 2+3i.

Determine whether the statement is true or false. If P(x) = (x-4)²(x+3)7, then the graph of the polynomial function y = P(x) crosses the x-axis at (4,0). Choose the correct answer below. ○ A. О в. ○ C. ○ D. The statement is false because (x-4)² is a factor of the given polynomial function P(x), and the exponent, 2 is even. Thus, the graph is tangent to the x-axis at (4,0). 2 The statement is true because (x-4)² is a factor of the given polynomial function P(x), and the exponent, 2 is even. Thus, the graph crosses the x-axis at (0,4). The statement is false because (x-4)² is a factor of the given polynomial function P(x), and the exponent, 2 is odd. Thus, the graph is tangent to the x-axis at (0,4). The statement is true because (x-4)² is a factor of the given polynomial function P(x), and the exponent, 2 is odd. Thus, the graph crosses the x-axis at (4,0).

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Write a polynomial function with the roots/zeros: 0 (with multiplicity 3), -1/2, 3/4, 7i√2, and -7i√2