For the polynomial below, -1 is a zero.
f(x)=x^3+5x^2+6x+2
Express f(x) as a product of linear factors.

The product of linear factors for f(x) is given as (x + 1)(x² + 4x + 2) for -1 as a zero of the polynomial x³ + 5x² + 6x + 2. What is the factor theorem?The factor theorem states that;f(x) is divisible by x - a if and only if f(a) = 0f(x) is divisible by x + a if and only if f(-a) = 0in both cases, a and -a are the zeros of the polynomials.From the question, given that -1 is a zero of f(x) = x³ + 5x² + 6x + 2, then it is divisible by x + 1 and f(-1) = 0.Dividing x³ + 5x² + 6x + 2 by x + 1 using the long division will result to another factor x² + 4x + 2 with a remainder of zero. (complete long division is attached as a photo!)Therefore we can then conclude that (x + 1)(x² + 4x - 2) is the product of linear factors for f(x) = x³ + 5x² + 6x + 2 and -1 as a zero.Learn more about factor theorem here: https://brainly.com/question/24729294#SPJ1