Determine which polynomial is a difference of two squares.
a) x2 + 14
b) x2 − 14
c) x2 + 49
d) x2 − 49

Option D. x² - 49

Step-by-step explanation:

We have to find the polynomial which is a difference of two squares.

It means polynomials will be in the form of a² - b² where a² and b² are perfect squares.

Out of all options A, B, C, D we have two options C and D in which x² and 49 are two perfect squares but difference of two squares is only in option D.

x² - 49 = x² - 7²

Therefore option D. (x² - 49) is the answer.

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

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step-by-step explanation: