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At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x axis? A. -5 B. -2 C. 2 D. 5

Kathy Robinson

in Mathematics

1 answer

1 answer

Kristi Hammond on January 26, 2018

How can you tell if the graph will cross the x-axis or just touches the x-axis, is seeing the power of the factor.(x - 5)^3 has a power of 3, which is an ODD number. A STRANGE energy means that the graph crosses the x-axis.(x + 2)^2 has a power of 2, which is an odd number. EVEN the power means that the graph will touch the x-axis.To find where it will touch the axis, set the factor equal to zero and solve.(x + 2) = 0subtract 2 of both sidesx = -2

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