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A.Directions : for each given polynomial function's

1.f(x)=(x-2)⁴(x+1)²
2.f(x)=(x-1)³(x+2)⁴

find the following:
a.degree of the polynomial
b.leading term,the leading coefficient,and the constant term
c.end behaviour of the graph of the function
d.x- and y- intercepts
e.multiplicity of zeros
f.the intervals to identify the location of the graph which respect to the z-axis
g.number of turning points
h.sketch the graph

asap po huhu bukas pasahan ng umaga
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Sagot :

BORREREGIELYN358GO

Answer:

1.f(x)=(x-2)⁴(x+1)²

A.Degree of the Polynomial-6

B.Leading Term - x(small of 6)

Leading Coefficient - 1

C.End Behavior of the Graph of the Function

left-rises

right-rises

D.x- ang y-intercept

x-(2,0),(-1,0)

y-(0,16)

E.Multiplicity of Zeros

x=2(multiplicity of 4)

x=-2(multiplicity of 2)

G.Number of Turning Points

(-1,0)

(0,16)

(2,0)

2.f(x)=(-1)³(x+2)⁴

A.Degree of the Polynomial - 4

B.Leading Term - -x⁴

Leading Coefficient - -1

C.End Behavior of the Graph of the Function

left-falls

right-falls

D.x- and y-intercept

x=(-2,0)

y=(0,-16)

E.Multiplicity of Zeros

x=-2(multiplicity of 4)

G.Number of Turning Points

(-2,0)

Step-by-step explanation:

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