Question

The following graph shows a seventh-degree polynomial:

Part 1: List the polynomial’s zeroes with possible multiplicities.
Part 2: Write a possible factored form of the seventh degree function.
4. Without plotting any points other than intercepts, draw a possible graph of the following polynomial:

f(x) = (x + 8)^3(x + 6)^2(x + 2)(x – 1)^3(x – 3)^4(x – 6).

Answer 1

the answer is included in the picture. 

Answer 2

Part 1: The zeroes are -5 with a multiplicity of 2, -1 with a multiplicity of 1, 4 with a multiplicity of 3, 7 with a multiplicity of 1.

Part 2: The possible factored form of the function is (x + 8)^2(x + 1)(x - 4)^3(x - 7)