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1 Unit 1: Pure Mathematics A

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Question 336

A specialized sensor measures the displacement D(s)D(s)D(s) of a robotic arm as a function of the system's stress level sss. The displacement is modeled by the function

D(s)=3s3−13s2+17s−15 D(s) = 3s^3 - 13s^2 + 17s - 15 D(s)=3s3−13s2+17s−15
a.

Use the factor theorem to prove that (s−3)(s - 3)(s−3) is a factor of D(s)D(s)D(s).

[2]
bi.

Prove that the graph of the displacement function y=D(s)y = D(s)y=D(s) intersects the sss-axis at exactly one point.

[4]
bii.

State the coordinates of this point of intersection.

[1]
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1 Unit 1: Pure Mathematics A Questions

  1. A Level
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  3. /1 Unit 1: Pure Mathematics A

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