Question

Factor using synthetic division and list All zerosf(x)= x^4+3x^3-13x^2-15x;x-3

Answer 1

Here, we want to factor by the use of synthetic division.

We divide at each point till we get the last zero

Since the highest power is 4, there should be 4 roots

So using the synthetic division, we have the following;

So, we have the initial quotient as x^3 + 6x^2 + 5x

Now, we proceed to divide this result by (x-3)

We have this as;