Question

The math teacher and cheerleading coach have teamed up to help the students do better on their math test. The cheer coach, using dance move names for the positioning of their arms, yells out polynomial functions with different degrees. For each position the coach yells out, write the shape by describing the position of your left and right arm.

Answer 1

Zeroth order polynomial:
`y = c` where is constant real number

First Order polynomial:
`y = mx +c` where a is the gradient of the line and c a y-intercept

Second Order polynomial :
`y = ax^2 + bx +c`

Third Order Polynomial:
`y = ax^3 + bx^2 +cx+d`

Explanation:

a) Zeroth Order Polynomial is when the cheerleader fully extends both his or her arms horizontal

b) First Order Polynomial is when the cheerleader, with fully extended arms as in a) now immediately tilts her chest to be at a slight angle relative to the chest position

c) Second Order polynomial is when the student arcs both his/her arms downwards or upwards.

d) Third order polynomial is when the student arcs one of his/her upwards whilst at the same time arcing the other arm downwards.