Question

18.2x^3 + 4x^2 + 2x

Answer 1

Answer:

A. This polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.

Step-by-step explanation:

2x^3 + 4x^2 + 2x

First factor out the GCF

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

Then factor the inside by either using grouping or recognizing that this is a perfect square  a^2 + 2ab + b^2 = ( a+b) ^2

2x ( x^2 + 2 * x * 1 + 1^2)

2x ( x+1) ^2

Answer 2

Answer:

A. This polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.

Step-by-step explanation:

2x^3+4x^2+2x

factor common term 2x

= 2x (x² + 2x + 1)

then factor x² + 2x + 1 to (x + 1)(x + 1)

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

refining the equation

= 2x (x + 1)²