Question

How do you factor: `y= 10x^3 + 20x^2 + x + 2`?

Answer 1

`y=(10x^2+1)(x+2)`

Explanation:

Given
`color(white)("XXX")y=10x^3+20x^2+2x+2`

Comparing the first two terms with the last two terms on the right side
we see that they have a common factor of `(x+2)`
`y=10x^2(x+2)+1(x+2)`

`y=(10x^2+1)(x+2)`