Question

One zero of f(x)=x^3-2x^2-5+6 is 1 what are the other zeros of the function

Answer 1

Answer:

the other zeros of this function are {-2, 3}

Step-by-step explanation:

Use synthetic division to find the roots.  The coefficients of this cubic function are 1, -2, -5, 6, and we begin by using 1 as our first divisor:

1    /    1    -2    -5    6

               +1      -1    -6

    --------------------------

         1     -1       -6    0

Because the remainder is zero (0), we can conclude that 1 is indeed a root of the given polynomial.  The quotient is 1x^2  - 1x  - 6, whose roots can be found either through synthetic division or factoring.  In this case the factors are (x - 3) and (x + 2), so the other zeros of this function are {-2, 3}.