Question

Factor the given polynomial and find the rational zeros.   f(x)=x3+6x2+5x Question 15Select one: {0,−12,−5} {0,−1,−5} {0,2,−5} {0,−2,−5}

Answer 1

Hi,

Explanation:

`f(x)=x^3+6x^2+5x\\=x(x^2+6x+5)\\=x(x^2+x+5x+5)\\=x( x(x+1)+5(x+1))\\=x(x+1)(x+5)\\`

Roots are 0,-1,-5)