Question

factor any perfect square trinomials 49x^2-14x+1

Answer 1

@Easyaspi314 why do you give only the answer?

Answer 2

How do you know the student will be GIVEN the answer on a test @Easyaspi314 ?

Answer 3

We dont know that. But one thing we do know, is the student sees a perfect square of (7x-1)..and when the student multiples out, the student will see it as it is part of the learning process.

Answer 4

We must assume when such a question is asked, that the student knows what a perfect square is. Otherwise the studdent could ask "what is a perfect square"?

Answer 5

Hence, a student seeing (7x-1) (7x-1), it must be assumed that the student says , "Right". And could confirm by multiplication.

Answer 6

This student asked factor: $$49x^2-14x+1$$

Answer 7

Student asked to factor the perfect square trinomial. That was the cue. A student seeing the perfect square (7x-1) clearly sees and learns.

Answer 8

I agree, if the student just asked to factor 49x^2 - 14x +1, I would agree with you. But the student asked for the perfect square trinomial.

Answer 9

The OBJECTIVE of "factor any perfect square trinomials" is clearly to be ABLE to identify a perfect square trinomial, right?

Answer 10

agree..and for all we know, the student can identify it..but was stuck on this one.

Answer 11

Let's give the student the benefit of the doubt, and not to assume that the student knows nothing about a perfect square trinomial. Furhermore, the student can easily follow up and ask "How did you get that"?

Answer 12

But giving the answer, as you did, does not fulfill the objective of learning to factor...

Answer 13

factor any perfect square trinomials 49x^2-14x+1

Answer 14

Wy do you assume that the student needs to learn how to factor? Why not assume that the student knows how to factor, but needs help on that problem. After all, we cant assume students dont know anything about a topic just becuase the students ask something regarding that topic.

Answer 15

Again, giving the answer and saying "check it with FOIL" is not learning how to factor.

Answer 16

You are assuming that the student does not know how to factor.

Answer 17

All I'm assuming is that they are "learning" to factor, nothing else.

Answer 18

Why not help them "learn" by giving them "hints" and not just the answer?

Answer 19

A skilled teacher chooses the hints very carefully based on the questions the student asks.

Answer 20

You didn't even give the student an opportunity to ask anything.

Answer 21

As an educator, we can discuss this via e-mail, and you'll be surprised what I have to say. But, if you take the time to read through more than 1,000 responses to students, you will find that the overwhelming of them include a clear solution on how to go about it. In this specific question about perfect square trinomials, I felt that it was a correct response. That was my professional opinion.

Answer 22

I'm sorry, I'm not an educator.

Answer 23

Why not e-mail me, and I can tell you more of who I am. Then you won't have even posted your first remark to me. But we are live, so I didnt want to go that route.

Answer 24

I apologize if I have offended you in any way.

Answer 25

Apology accepted. Next time, I would recommend that you contact that individual via e-mail before attacking someone.

Answer 26

Have a good day.