Question 1153981


17.

{{{x^2 + 2x + 1}}}->use the rule {{{a^2+2ab+b^2=(a+b)^2}}}

{{{(x +1)^2}}}

or use grouping method:

{{{x^2 + 2x + 1}}}

{{{x^2 +x+x + 1}}}

{{{(x^2 +x)+(x + 1)}}}

{{{x(x +1)+(x + 1)}}}

{{{(x +1)(x + 1)}}}



E This polynomial could be factored by using grouping or the perfect squares methods.


18. 

{{{2x^3 + 4x^2 + 2x}}}

{{{2x(x^2 + 2x + 1)}}}->use the rule {{{a^2+2ab+b^2=(a+b)^2}}}

{{{2x(x+1)^2}}}

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


19. 

{{{x^2 - 169}}}

{{{x^2 - 13^2}}}->{{{a^2-b^2=(a-b)(a+b)}}}


B This polynomial could be factored by using the difference of squares method or grouping.


20.

{{{x^2 + 5x - 7}}} we can only complete square

{{{(x + 5/2)^2 - 53/4}}}

F This polynomial cannot be factored by any of the methods used in this lesson.