Question

WILL FAN AND MEDAL
Select the polynomial that is a perfect square trinomial.
49x2 − 8x + 16
4a2 − 10a + 25
25b2 − 5b + 10
16x2 − 8x + 1

Answer 1

a number after the variable is an exponent

Answer 2

@mathway

Answer 3

@Maxmius @mbma526

Answer 4

here is a reference to help you file:///C:/Users/Owner/Downloads/StudyGuide.IA.pdf

Answer 5

I can't click the link @Taylor0402

Answer 6

copy and paste if u doof

Answer 7

@ospreytriple

Answer 8

allo ospreytriple :)

Answer 9

Hi. You need some help? Firstly, for a trinomial to be a perfect square, both the first and last terms must be perfect squares. For example\[\left( 2x+3 \right)\left( 2x+3 \right) = 4x^2+12x+9\]Both the first term, 4x^2, and the last term, 9, are perfect squares. Understand so far?

Answer 10

yes @ospreytriple

Answer 11

This will eliminate one of the answers.

Answer 12

Now, to pin it down, The coefficient of the middle term (the coefficient of the 'x' term) must be equal to twice the product of the square roots of the coefficient of the first term and the third term. In my example\[4x^2+12x+9\]the square root of the coefficient of the first term is 2 and the square root of the third term is 3. Twice their product is 2(2 x 3) = 12. OK?

Answer 13

And to make it even trickier, you have to consider that the negative square root may also be a possibility.

Answer 14

Take the first answer given for example. The square root of 49 is +7 or -7 and the square root of 16 is +4 or -4. So, if it is a perfect square the coefficient of the middel term must be one of
2(-7 x 4)
2(-7 x -4)
2(7 x 4)
2(7 x -4)
If it is not one of these, the it is not a perfect square trinomial.

Answer 15

BTW these are the answers
49x2 − 8x + 16
4a2 − 10a + 25
25b2 − 5b + 10
16x2 − 8x + 1

Answer 16

@ospreytriple is it B?

Answer 17

@ospreytriple

Answer 18

Yes. Well done.

Answer 19

THX SO MUCH

Answer 20

Oops. sorry, it's not B.

Answer 21

The middle coefficient must be TWICE the product of the two square roots.

Answer 22

So d

Answer 23

So, for the possibilities for the coefficient of the middle term are
2(-2 x 5)
2(-2 x -5)
2(2 x 5)
2(2 x -5)

Answer 24

Yes, D is correct. Sorry for the mixup.

Answer 25

its ok