For P(x) = 2x^4 – 5x^3+x-10, use synthetic substitution to evaluate P(-2). P(1), and P(2).

P(-2) = 2(-2^4) - 5(-2^3) + (-2) -10

= 2(16) - 5(-8) + (-2) - 10

= 32+40-2-10

= 60

P(1) = 2(1^4) - 4(1^3) + (1) - 10

= 2 - 4 + 1 - 10

= -11

P(2). = 2(2^4) - 5(2^3) + (2) - 10

= 2(16) - 5(8) + 2 - 20

= 32-40+2-10

= -20

(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

the correct answer is b. negative exponential growth.

step-by-step explanation:

you can tell it's an exponential function because it decreases rapidly then levels out and never touches the x-axis.

it is negative because the y-axis decreases as the x-axis increases.

therefore it is a negative exponential growth graph.

hope i !