Question

factorise
${x}^{3} + 3 {x}^{2} + 2x$
​

Answer 1

Answer:

By remainder theorem

x+1=0

x=−1

p(x)=x

3

+3x

2

−3x−1p(−1)

=(−1)

3

+3(−1)

2

−3(−1)−1

=−1+3(1)+3−1

=−1+3+3−1

=6−2

=4

Thus remainder is 4

Answer 2

Answer:

x³ + 3x² + 2x

x( x²+ 3x +2)=0

x(x+1)(x+2) =0

x=0,-1, -2