According to the fundamental theorem of algebra, how many roots exist for the polynomial function?

(9x + 7)(4x + 1)(3x + 4) = 0

The Fundamental Theorem of Algebra states that a polynomial function of degree n, has n roots, Real or Complex.

The polynomial function f(x)=(9x + 7)(4x + 1)(3x + 4) is a third degree polynomial, expressed in factored form.

f has 3 linear (first degree) factors, so 3 roots, which are -7/9, -1/4 and -4/3.

3 roots