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1.5 Algebraic Division

1.5 Algebraic Division

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Question 30

The vertical displacement sss (in metres) of a high-performance drone during a test maneuver is modelled by the polynomial function

s(t)=2t4+pt3−8t2+qt+22 s(t) = 2t^4 + pt^3 - 8t^2 + qt + 22 s(t)=2t4+pt3−8t2+qt+22

where ttt represents the time in seconds after the maneuver begins, and ppp and qqq are constant coefficients.

a.

When s(t)s(t)s(t) is divided by (t+1)(t + 1)(t+1), the remainder is 777. Show that p+q=9p + q = 9p+q=9.

[2]
b.

When s(t)s(t)s(t) is divided by (t−2)(t - 2)(t−2), the remainder is 101010. Find the value of ppp and the value of qqq.

[4]
Markscheme

1.5 Algebraic Division Questions

  1. A Level
  2. /Maths
  3. /1.5 Algebraic Division

65 exam-style questions on Edexcel A Level Maths 1.5 Algebraic Division. Each one has a worked solution and a mark scheme showing where the marks go.

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