Skip to content

Course home

Algebraic Methods

Algebraic Methods

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261
Question 233

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]
Markscheme

Algebraic Methods Questions

  1. A Level
  2. /Maths
  3. /Algebraic Methods

368 exam-style questions on Edexcel A Level Maths Algebraic Methods, covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank