What is the difference of the polynomials? (5x3 + 4x2) – (6x2 – 2x – 9)

5x³ - 2x² + 2x + 9

Step-by-step explanation:

distribute both parenthesis, noting the second one is distributed by - 1

= 5x³ + 4x² - 6x² + 2x + 9 ( collect like terms )

= 5x³ - 2x² + 2x + 9

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