Question

6w^3+4w^2+3w+2

factor the polynomial

Answer 1

`(3w+2)(2w^2 + 1)`

Explanation:

`6w^3+4w^2+3w+2`

`\implies (6w^3+4w^2)+(3w+2)`

Factor out
`2w^2` from first parentheses and 1 from second:

`\implies 2w^2(3w+2) + 1(3w+2)`

Factor out common term
`(3w+2)`:

`\implies (3w+2)(2w^2 + 1)`