Question

How do you factor `x^3+6x^2+3x-10`?

Answer 1

y = (x - 1)(x + 2)(x + 5)

Explanation:

Since a + b + c + d = 0, f(1) = 0. One factor is (x - 1).
After division -->
`y = (x - 1)(x^2 + 7x + 10)`
The trinomial in parentheses can be factored
Find 2 numbers knowing sum (7) and product (10). They are 2 and 5.
`x^2 + 7x + 10 = (x + 2)(x + 5)`
`y = (x - 1)( x + 2)(x + 5)`