Answer:
3 points: x = 1, x = 2 and x = 4
1 point: x = 6
Cross
Step-by-step explanation:
Points to remember:
- A zero of odd multiplicity will cross through the x-axis
- A zero of event multiplicity will only touch the axis i.e. be tangent to it.
The given zeros are:
- 1 with multiplicity of 1 (Odd Multiplicity)
- 2 with multiplicity of 3 (Odd Multiplicity)
- 4 with multiplicity of 1 (Odd Multiplicity)
- 6 with multiplicity of 2 (Even Multiplicity)
The graph will cross x-axis at zeros with odd multiplicity. Since zeros with odd multiplicity are 3, the graph will cross the x-axis at <u>3 points</u>: x = 1, x = 2 and x = 4
Similarly, the zero of even multiplicity is 1, so the graph will touch the x-axis at <u>1 point</u> only: x = 6
At the zero of 2, the graph of the function will <u>cross</u> the x-axis.
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Hope this helps :)
4x²+x³
Factor is out x³ expression
The answer is :
Carry learning!
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