Polynomial Functions Exercise 2.6 A and B

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The sum of the multiplicities is the ______ of the polynomial function

degree

The right end ______. The left end falls.

rises

The possible rational roots are of the form where ______ is the set of all factors of and ______ is the set of all factors of.

q, p

The roots of the polynomial function are ______

-10, 10

The zeros of the polynomial function $P(x) = (x+2)(x-4)^3$ are -2 and 4. The zero -2 has a ______ of 3.

multiplicity

The leading coefficient of the polynomial is ______

positive

To find a polynomial function with zeros 1, -2, and 3, the equation $x - 1=0$ represents the factor (x-1). The corresponding factor for the zero -2 is ______.

(x+2)

A polynomial function with zeros 2 and -1, each with a ______ of 3, can be represented by the equation $x-2=0$ for the zero 2.

multiplicity

The graph of a polynomial function will touch the x-axis at zeros with ______ multiplicities.

even

The equation $x-2=0$ represents the factor (x-2). The corresponding factor for the zero 2 with multiplicity 3 is ______.

(x-2)^3

Test your understanding of polynomial functions with Exercise 2.6 A and B. Determine zeros, Y-intercepts, multiplicities, and end behavior of polynomial functions.

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