math help anyone really good at it?

Question

Determine whether each of the following is a trinomial square.

1. x^2-14x + 49

2. x^2-10x - 25

3. 36x^2-24x+16

4. 16x^2-40xy+25y^2

5. 9x^2 - 36x + 24

Factor completely. Remember to look first for a GCF and to check by multiplying.

1. x^2+4x+4

2. x^2-20x+100

3. 64+16x+x^2

4. 9x^2 - 42x + 49

5. 36x^2+96xy+64y^2

Answer 1

1. x^2-14x + 49
yes (x - 7)^2

2. x^2-10x - 25
no, because the last term (-25) is negative

3. 36x^2-24x+16
yes (6x - 4)^2

4. 16x^2-40xy+25y^2
yes (4x - 5y)^2

5. 9x^2 - 36x + 24
no, 24 is not a perfect square

Factor completely. Remember to look first for a GCF and to check by multiplying.

1. x^2+4x+4
(x + 2)^2

2. x^2-20x+100
(x - 10)^2

3. 64+16x+x^2
(8 + x)^2

4. 9x^2 - 42x + 49
(3x - 7)^2

5. 36x^2+96xy+64y^2
(6x + 8y)^2

Answer 2

1. x^2-14x + 49 = (x-7)^2

2. x^2-10x - 25 = No

3. 36x^2-24x+16 No

4. 16x^2-40xy+25y^2 = (4x -5y)^2

5. 9x^2 - 36x + 24 No

Factor completely. Remember to look first for a GCF and to check by multiplying.

1. x^2+4x+4 = (x+2)^2

2. x^2-20x+100 = (x-10)^2

3. 64+16x+x^2 = (8+x)^2

4. 9x^2 - 42x + 49 =(3x-7)^2

5. 36x^2+96xy+64y^2 = (6x+8y)^2

Answer 3

1. x^2 - 14x + 49 = (x-7)^2

2. x^2 - 10x - 25, this is not a square.

3. 36x^2 - 24x + 16, not a square.

4. 16x^2 - 40xy + 25y^2 = (4x-5y)^2

5. 9x^2 - 36x + 24, not square.

1. x^2 + 4x + 4 = (x+2)^2

2. x^2 - 20x + 100 = (x-10)^2

3. 64 + 16x + x^2 = (x+8)^2

4. 9x^2 - 42x + 49 = (3x-7)^2

5. 36x^2 + 96xy + 64y^2 = (6x+8y)^2

Answer 4

QUestions to ask yourself:

Are the first and the third term positive perfect squares? Terms like 25, 36x^2, or 49y^2 are perfect squares:

25 = 5 * 5
36x^2 = 6x * 6x
49y^2 = 7y * 7y

Take the square root of the first and third terms, multiply them together and double your answer. If this result is your second term (positive or negative), then the trinomial is a perfect square trinomial. For example:

1. x^2 - 14x + 49

The square root of the first and third term are x and 7 respectively.

Multiplying them together gives 7x, doubled gives 14x, which is your middle term. Since it's negative, it will factor into (x - 7)(x - 7). They are both -7 since your middle term is negative. If your middle term was +14x, then it would factor into (x +7)(x + 7).

Hope that helps.

Answer 5

to find the perfect square just look at the values "a" and "c" if the are perfect square and "b" is the multiple of "a" time "c" time the number "2" so it is the perfect square. So
in first problem a=1 ; b=14; c=49
1. (x-7)^2
2. no
3. no
4. (4x+5)^2
5. no.

Factors:
1. (x+2)^2
2. (x-10)^2
3. (x+8)^2
4. (3x-7y)^2
5. (6x+8y)^2

Answer 6

Factoring is one of those procedures that can be seen very easily or it may be difficult to see, but it is a trial and error method and if you do not do it yourself you will never master it and all future math might as well be greek to you.........so follow the rules and stick with it .........!

Answer 7

1. yes => (x-7)(x-7)
2. no
3. no
4. yes => (4x-5y)(4x-5y)
5. no

1. (x+2)(x+2)
2. (x-10)(x-10)
3. (x+8)(x+8)
4. (3x-7)(3x-7)
5. (6x+8y)(6x+8y)
=) all squares

Answer 8

who cares i failed math