Skip to content
MathsGenie logo
Open app

Course home

  1. A Level
  3. Maths Edexcel
  5. Question bank

Algebraic Methods

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194
Question 118

An engineer determines that the volume V(t)V(t)V(t) of a specialized industrial component is modeled by the polynomial:

V(t)=125t3+150t2+55t+6 V(t) = 125t^3 + 150t^2 + 55t + 6 V(t)=125t3+150t2+55t+6

where t t\,t is a dimension-scaling factor.

a.

Use the factor theorem to prove that (5t+1)(5t + 1)(5t+1) is a factor of V(t)V(t)V(t).

[2]
b.

Factorise V(t)V(t)V(t) completely.

[3]
c.

Hence, prove that 375m3+450m2+165m+18375m^3 + 450m^2 + 165m + 18375m3+450m2+165m+18 is a multiple of 18 when m m\,m is a positive whole number.

[3]

Algebraic Methods Questions

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

Practise Edexcel A Level Maths Algebraic Methods with exam-style questions for A Level Maths. 226 questions covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank