Answer to Question 7

Given the conditions stated at the right, determine:
a) the degree of the polynomial function degree 4
(add the multiplicities to get degree)
Conditions: (assume only real roots)
• the leading coefficient is positive
• Root x = -3 multiplicity 2
• Root x = 2 multiplicity 1
• Root x = -1 multiplicity 1
b) the end behavior with a positive leading coefficient and an even degree, the end behavior will be up on both ends.
c) a rough sketch
G7pic You could form the equation and use test points to enhance the sketch.
y = (x + 3)(x + 3)(x - 2)(x + 1)
But since the question asked for a "rough" sketch, and x-axis only graph is sufficient.

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