This year a kindergarten class has 360 children, a 20% increase over last year. there was a 10% increase in the number of boys and a 40% increase in the number of girls. how many boys and girls were there each at the kindergarten class last year?

Set up your variables:
B1 = # of boys last year
B2 = # of boys this year
G1 = # of girls last year
G2 = # of girls this year

We know that B2 + G2 = 360
There was a 20% increase from last year in total students, so:
360/1.2 = 300 total students last year
So we have:
B1 + G1 = 300 (our first equation)

Now there was a 10% increase in boys, so:
1.1*B1 = B2
And 40% increase in grills, so:
1.4G1 = G2

So substituting these values into B2 + G2 = 360, gets us:
1.1*B1 + 1.4*G1 = 360 (our second equation)

Now we have two equations and two unknowns:
B1 + G1 = 300
1.1*B1 + 1.4*G1 = 360

I'll multiply the top equation by 11 and the bottom equation by 10:
11B1 + 11G1 = 3300
11B1 + 14G1 = 3600

Subtract the two equations:
-3G1 = -300
G1 = 100

Thus B1 must be 200.

There were 200 boys last year and 100 girls last year.

All except for b, because polynomial functions can be quadratic, cubic, witticisms and etc only non negative exponents of negative it is not a polynomial function