Question

Factor x^3 + 3x^2 + 2x completely. completely.

Answer 1

x(x + 2)(x + 1)

Explanation:

x^3 + 3x^2 + 2x

= x(x^2) + x(3x) + x(2)

= x(x^2 + 3x + 2)

= x(x + 2)(x + 1)

Answer 2

x(x+2)(x+1)

Explanation:

Given expression is:

x³+3x²+2x

taking x common from above expression,we get

x(x²+3x+2)

Splitting the middle term of above equation so that the sum of two terms should be 3 and their product be 2, we get

x(x²+2x+x+2)

making groups and taking common,we get

x( x(x+2)+1(x+2) )

taking (x+2) as common,we get

x(x+2)(x+1) which are the factors of x³+3x²+2x.