Question

X^5+26x^4+169x^3 find the zeros

Answer 1

Answer: x=0 and x=-13

Explanation:

To find the zeros, let's start by factoring.

`x^5+26x^4+169x^3` [take out x^3]

`x^3(x^2+26x+169)` [factor the inside]

`x^3(x+13)(x+13)`

We know the factors will be (x+13) and (x+13) because 13x13=169 and 13+13=26.

To find zeros, we set each factor equal to 0.

x=0 and x+13=0

x=-13

Therefore, the zeros are x=0 and x=-13.