The learner will be able to factor perfect-square trinomials.

Factoring: Set 3 Perfect-Square Trinomials

Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Correct!

Factor a2 + 2ab + b2 completely.

Correct Answer

(a + b)2

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Incorrect

Factor a2 + 2ab + b2 completely.

Your Answer

Correct Answer

(a + b)2

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Correct!

Factor a2 - 2ab + b2 completely.

Correct Answer

(a - b)2

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Incorrect

Factor a2 - 2ab + b2 completely.

Your Answer

Correct Answer

(a - b)2

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Correct!

Factor x2 + 6x + 9 completely.

Correct Answer

(x + 3)2

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Incorrect

Factor x2 + 6x + 9 completely.

Your Answer

Correct Answer

(x + 3)2

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Correct!

Factor a2 - 12a + 36 completely.

Correct Answer

(a - 6)2

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Incorrect

Factor a2 - 12a + 36 completely.

Your Answer

Correct Answer

(a - 6)2

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Correct!

Factor x2 + 4x - 12 completely.

Correct Answer

(x + 6)(x - 2)

Explanation:

Note that x2 + 4x - 12 is not a perfect-square trinomial.

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Incorrect

Factor x2 + 4x - 12 completely.

Your Answer

Correct Answer

(x + 6)(x - 2)

Explanation:

Note that x2 + 4x - 12 is not a perfect-square trinomial.

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Correct!

Factor 9x2 - 12xy + 4y2 completely.

Correct Answer

(3x - 2y)2

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Incorrect

Factor 9x2 - 12xy + 4y2 completely.

Your Answer

Correct Answer

(3x - 2y)2

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Correct!

Factor 4a2b2 + 4ab + 1 completely.

Correct Answer

(2ab + 1)(2ab + 1)

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Incorrect

Factor 4a2b2 + 4ab + 1 completely.

Your Answer

Correct Answer

(2ab + 1)(2ab + 1)

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Correct!

Factor 3y2 + 30y + 75 completely.

Correct Answer

3(y + 5)2 

Explanation:

Remember to first factor out a common factor.

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Incorrect

Factor 3y2 + 30y + 75 completely.

Your Answer

Correct Answer

3(y + 5)2 

Explanation:

Remember to first factor out a common factor.

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Correct!

Factor c8 - 6c4 + 9 completely.

Correct Answer

(c4 - 3)2

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Incorrect

Factor c8 - 6c4 + 9 completely.

Your Answer

Correct Answer

(c4 - 3)2

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Correct!

Factor 25x2 - 1 completely.

Correct Answer

(5x + 1)(5x - 1)

Explanation:

Note that 25x2 - 1  is not a perfect-square trinomial. It is the difference of two perfect squares.

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Incorrect

Factor 25x2 - 1 completely.

Your Answer

Correct Answer

(5x + 1)(5x - 1)

Explanation:

Note that 25x2 - 1  is not a perfect-square trinomial. It is the difference of two perfect squares.

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Correct!

Factor 25x2 - 10x + 1 completely.

Correct Answer

(5x - 1)2

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Incorrect

Factor 25x2 - 10x + 1 completely.

Your Answer

Correct Answer

(5x - 1)2

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Correct!

Factor 9m2 + 60mn + 100n2 completely.

Correct Answer

(3m + 10n)(3m + 10n)

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Incorrect

Factor 9m2 + 60mn + 100n2 completely.

Your Answer

Correct Answer

(3m + 10n)(3m + 10n)

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Correct!

Factor -9x2 + 6x - 1 completely.

Correct Answer

-(3x - 1)2

Explanation:

Remember to first factor out -1.

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Incorrect

Factor -9x2 + 6x - 1 completely.

Your Answer

Correct Answer

-(3x - 1)2

Explanation:

Remember to first factor out -1.

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Correct!

Factor ax2 + 14ax +49a completely.

Correct Answer

a(x + 7)2

Explanation:

Remember to first factor out a common factor.

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Incorrect

Factor ax2 + 14ax +49a completely.

Your Answer

Correct Answer

a(x + 7)2

Explanation:

Remember to first factor out a common factor.

 Next Question
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Correct!

Factor 9x2 - 48xy2 + 64y4 completely.

Correct Answer

(3x - 8y2)2

 Finish
Question 1 of 10

Factoring: Set 3 Perfect-Square Trinomials

Incorrect

Factor 9x2 - 48xy2 + 64y4 completely.

Your Answer

Correct Answer

(3x - 8y2)2

 Finish
Question 1 of 10
Factoring: Set 3 Perfect-Square Trinomials

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Factoring: Set 3 Perfect-Square Trinomials by Fox Valley Technical College is licensed under a Creative Commons Attribution 3.0 Unported License.