Factoring a polynomial involves rewriting the polynomial in a different form.
The correct factorization is (d) [tex](x^2 - 9)(x +4)[/tex]
The polynomial function is given as:
[tex]f(x) = x^3 + 4x^2 - 9x - 36[/tex]
Factor out x^2 from the first two terms
[tex]f(x) = x^2(x + 4) - 9x - 36[/tex]
Factor out -9 from the other two terms
[tex]f(x) = x^2(x + 4) - 9(x +4)[/tex]
Factor out x + 4
[tex]f(x) = (x^2 - 9)(x +4)[/tex]
Hence, the correct factorization is (d) [tex](x^2 - 9)(x +4)[/tex]
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