Question

Which trinomials are perfect square trinomials?

Select each correct answer.

A. a^2 + 4a + 16

B. a^2 + 26a + 169

C. a^2 + 15a + 75

D. a^2 + 14a + 49

Answer 1

@Vocaloid

Answer 2

the coefficient multiplied to a is b (for example, in answer choice A, b = 4 since that's the coefficient multiplied to a)

the constant term (the number w/ no variable) is c (for example, in answer choice A, c = 16)

select all answer choices where c = (b/2)^2

Answer 3

A, and D

Answer 4

D is correct

A is not

try the other choices

Answer 5

ok not A, it's either C or B so it's B to go with D

Answer 6

good, B+D

Answer 7

Factor completely.

4p² + 36p + 81

Express the answer in the form (ap + b)^2 .


Enter your answer in the box.

____________________

Answer 8

it's correct (2p + 9)^2 ?

Answer 9

yup that's your ans

Answer 10

Which expressions are differences of squares?

Select each correct answer.

A. x^2 + 25

B. a^2 − 36

C. n^2 − 50

D. w^2 − 121

Answer 11

1) the sign has to be a minus sign since we want a "difference"
2) the constant term needs to be a perfect square (when you take the square root of it it will give you an integer)

select all choices that follow these two rules

Answer 12

B and C

Answer 13

50 is not a perfect square, keep trying

Answer 14

A and C

Answer 15

A has a plus sign, so no

Answer 16

ok A you leave out, B, C, D since they all have minus signs

Answer 17

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid
1) the sign has to be a minus sign since we want a "difference"
2) the constant term needs to be a perfect square (when you take the square root of it it will give you an integer)

select all choices that follow these two rules
\(\color{#0cbb34}{\text{End of Quote}}\)

please read this carefully

Answer 18

if something I said is unclear you are welcome to ask me questions, but you need to say something b/c I can't read your mind

Answer 19

oh ok now i get it, It's C and D

Answer 20

no, 50 is not a perfect square

Answer 21

not A or C

Answer 22

good, so B + D only

Answer 23

Which trinomials are perfect square trinomials?

Select each correct answer.


A. m^2 + 10m + 25

B. m^2 + 24m + 144

C. m^2 + 36m + 60

D. m^2 + 10m + 100

Answer 24

similar logic as before, the middle coefficient is b and the consant needs to be (b/2)^2

please try to do the actual calculations before guessing

Answer 25

B and A

Answer 26

awesome, that's it

Answer 27

Factor completely.

25w² + 60w + 36

Express the answer in the form (aw + b)^2 .


Enter your answer in the box.

________________________

Answer 28

(5w + 6)^2

Answer 29

awesome, that's it

Answer 30

Factor.

25m^100 − 121n^16


A. (5m^10 − 11n^4)^2

B. (5m^50 − 11n^8)^2

C. (5m^50 − 11n^8)(5m^50 + 11n^8)

D. (5m^10 − 11n^4)(5m^10+11n^4)