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1.2.10 Manipulating polynomials

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Question 52

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

D(s) = 3s^3 - 13s^2 + 17s - 15

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

[2]

bi.

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

[4]

bii.

State the coordinates of this point of intersection.

[1]

Markscheme

1.2.10 Manipulating polynomials Questions

A Level
Maths
1.2.10 Manipulating polynomials

72 exam-style questions on OCR A Level Maths 1.2.10 Manipulating polynomials. Each one has a worked solution and a mark scheme showing where the marks go.

1.2.10 Manipulating polynomials

Question bank

1.2.10 Manipulating polynomials

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61

Question 52

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

D(s) = 3s^3 - 13s^2 + 17s - 15

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

[2]

bi.

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

[4]

bii.

State the coordinates of this point of intersection.

[1]

Markscheme

1.2.10 Manipulating polynomials Questions

A Level
Maths
1.2.10 Manipulating polynomials

72 exam-style questions on OCR A Level Maths 1.2.10 Manipulating polynomials. Each one has a worked solution and a mark scheme showing where the marks go.