A punter kicked a 41-yard punt. The path of the football can be modeled by y=−0.035x^2+1.4x+1, where x is the distance (in yards) the football is kicked and y is the height (in yards) the football is kicked.

1. Does the graph open up or down?

2. Does the graph have a maximum value or a minimum value?

3. Graph the quadratic function.

4. Find the maximum height of the football.

5. How would the maximum height be affected if the coefficients of the "x2" and "x" terms were increased or decreased?

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

agree

step-by-step explanation: