SOLUTION: For problems 17 - 20, identify which of the methods from this lesson (GCF, grouping, difference of squares, or perfect squares) could be used to factor the polynomial. 17.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: For problems 17 - 20, identify which of the methods from this lesson (GCF, grouping, difference of squares, or perfect squares) could be used to factor the polynomial. 17.       Log On


   

Question 1153981: For problems 17 - 20, identify which of the methods from this lesson (GCF, grouping, difference of squares, or perfect squares) could be used to factor the polynomial.

17. x^2 + 2x + 1
AThis polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.
BThis polynomial could be factored by using the difference of squares method, perfect squares method, or grouping.
CThis polynomial could be factored only by using the perfect squares method.
DThis polynomial could be factored only by using the difference of squares method.
E This polynomial could be factored by using grouping or the perfect squares methods.
F This polynomial cannot be factored by any of the methods used in this lesson.


18. 2x^3 + 4x^2 + 2x
AThis polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.
BThis polynomial could be factored by using the difference of squares method, perfect squares method, or grouping.
CThis polynomial could be factored only by using the perfect squares method.
DThis polynomial could be factored by using grouping or the perfect squares methods.
E This polynomial could be factored only by using the difference of squares method.
F This polynomial cannot be factored by any of the methods used in this lesson.


19. x^2 - 169
AThis polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.
BThis polynomial could be factored by using the difference of squares method or grouping.
CThis polynomial could be factored only by using the perfect squares method.
DThis polynomial could be factored by using grouping or the perfect squares methods.
E This polynomial could be factored only by using the difference of squares method.
F This polynomial cannot be factored by any of the methods used in this lesson.


20. x^2 + 5x - 7
AThis polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.
BThis polynomial could be factored by using the difference of squares method, perfect squares method, or grouping.
CThis polynomial could be factored only by using the perfect squares method.
DThis polynomial could be factored by using grouping or the perfect squares methods.
E This polynomial could be factored only by using the difference of squares method.
F This polynomial cannot be factored by any of the methods used in this lesson.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

17.
x%5E2+%2B+2x+%2B+1->use the rule a%5E2%2B2ab%2Bb%5E2=%28a%2Bb%29%5E2
%28x+%2B1%29%5E2
or use grouping method:
x%5E2+%2B+2x+%2B+1
x%5E2+%2Bx%2Bx+%2B+1
%28x%5E2+%2Bx%29%2B%28x+%2B+1%29
x%28x+%2B1%29%2B%28x+%2B+1%29
%28x+%2B1%29%28x+%2B+1%29


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

18.
2x%5E3+%2B+4x%5E2+%2B+2x
2x%28x%5E2+%2B+2x+%2B+1%29->use the rule a%5E2%2B2ab%2Bb%5E2=%28a%2Bb%29%5E2
2x%28x%2B1%29%5E2
A This polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.

19.
x%5E2+-+169
x%5E2+-+13%5E2->a%5E2-b%5E2=%28a-b%29%28a%2Bb%29

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

20.
x%5E2+%2B+5x+-+7 we can only complete square
%28x+%2B+5%2F2%29%5E2+-+53%2F4
F This polynomial cannot be factored by any of the methods used in this lesson.