Question

Given the following perfect square trinomial, fill in the missing term.

x2 − 16x + ____

Answer 1

To find the missing term, take half of the x coefficient and then square it.

Answer 2

Similar example:

Find the missing term for x^2 + 8x + _____

Take half of the x coefficient 8 to get 8/2 = 4. Then square it to get 4^2 = 4*4 = 16

So the missing term is 16

This means x^2 + 8x + 16 is a perfect square trinomial.

Answer 3

ok let me try
brb

Answer 4

ok

Answer 5

8^2

Answer 6

then that would turn into 64?

Answer 7

it's more like (-8)^2 = 64, but you have the correct final answer

Answer 8

so x^2-16x+64?

Answer 9

yes

Answer 10

ha thanks you made it a whole lot easier

Answer 11

yw

Answer 12

ok but i have one more question just if you could explain it like the last one it is

Answer 13

4x2 + ___x + 49

Answer 14

This is slightly different, but follows the same idea

Answer 15

If (a+b)^2 = 4x^2 + ___x + 49

Then we can FOIL out the left side to get


(a+b)^2 = 4x^2 + ___x + 49

a^2 + ab + ab + b^2 = 4x^2 + ___x + 49

a^2 + 2ab + b^2 = 4x^2 + ___x + 49


So

a^2 = 4x^2

2ab = ___x

b^2 = 49

which means

a = 2x

2ab = ___x

b = 7

Since a = 2x and b = 7, this means 2ab = 2*2x*7 = 28x

So

4x^2 + ___x + 49

becomes

4x^2 + 28x + 49

Answer 16

wow ok let me see

Answer 17

yeah its a lot

Answer 18

what is the (a+b) the example or do i have to do it with everyone of these?

Answer 19

(a+b)^2 is a perfect square and I used it to find the values of a and b...which helped me find 2ab (that middle term)

Answer 20

ok