Question

which of the following are polynomials that are perfect square trinomials:
Answer
9x2 - 6x + 1
16x2 + 24x + 9
36b2 - 24b + 8
4a2 - 10a + 25

Answer 1

A perfect square trinomial is the square of a binomial. To see what happens when we square any binomial, let us square (a + b):

(a + b)² = (a + b)(a + b) = a² + 2ab + b²

The square of any binomial produces the following three terms:

1. The square of the first term of the binomial: a²

2. Twice the product of the two terms: 2ab

3. The square of the second term: b²

Answer 2

you want to factor out the coefficient of x^2 from each term and see if half of the "b" term, that is the x term, squared is equal to the third term, or constant term

Answer 3

can someone just answer it for ,me I want to double check my answers

Answer 4

which ones do you have?

Answer 5

9x2 - 6x + 1, 16x2 + 24x + 9

Answer 6

the last 3

Answer 7

the first one works because after factoring out a 9 from each term you are left with:
9(x^2-2/3x+1/9)
[1/2(2/3)]^2=1/9

Answer 8

so the first one is right?

Answer 9

first one is one answer. use the same logic to check the others

Answer 10

I think second one is right

Answer 11

yep

Answer 12

and the last one is right?

Answer 13

yep, 3rd one doesnt work

Answer 14

actually last one is wrong too, sorry

Answer 15

wait im confused which one is right 3rd one or last one?

Answer 16

4(a^2-5/2a+25/4)
(5/4)^2 doesn't equal 25/4

Answer 17

neither

Answer 18

mmk so the first 2 r right and last 2 r wrong?

Answer 19

yes

Answer 20

9x2 - 6x + 1 and 16x2 + 24x + 9