Question

Find the zeros for the given polynomial function and give the multiplicity for each zero. State...


Find the zeros for the given polynomial function and give the multiplicity for each zero. State whether the graph crosses the
Find the zeros for the given polynomial function and give the multiplicity for each zero. State whether the graph crosses the
Find the zeros for the given polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around at each zero fix)=x2-8x? + + 16x Determine the zero(s). If they exist. The zero(s) is/are D (Type integers or decimals. Use a comma to separate answers as needed)
Find the zeros for the given polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around at each zero fix)=x2-8x? + + 16x Determine the zero(s). If they exist. The zero(s) is/are D (Type integers or decimals. Use a comma to separate answers as needed)
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Answer #1

f(x) = x^3 - 8x^2 + 16x

Setting f(x) = 0

x^3 - 8x^2 + 16x = 0

x ( x^2 - 8x + 16 ) = 0

x ( x - 4)^2 = 0

Setting each factor to 0

x = 0 , x - 4 = 0

x - 4 = 0

Add 4 on both sides

x = 4

The zeros are 0 ( multiplicity 1 ) , 4 ( multiplicity 2 )

The graph crosses the x axis at x = 0

The graph touches the x axis at x = 4

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