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Factor Theorem and Remainder Theorem

Medium
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Question 1

f(x)=2x3+x2−5x+cf(x) = 2x^3 + x^2 - 5x + cf(x)=2x3+x2−5x+c, where c c\,c is a constant.

Given that f(1)=0f(1) = 0f(1)=0,

a.

find the value of ccc,

[2]
b.

factorise f(x)f(x)f(x) completely,

[4]
c.

find the remainder when f(x)f(x)f(x) is divided by (2x−3)(2x - 3)(2x−3).

[2]

Factor Theorem and Remainder Theorem Questions

  1. A Level
  2. /Old Maths
  3. /Factor Theorem and Remainder Theorem

Practise Edexcel A Level Old Maths Factor Theorem and Remainder Theorem with exam-style questions for A Level Old Maths. 9 questions, matched to the Edexcel A Level Old Maths (9371) specification and written in Unit exams C1, C2, C3 and C4 plus two applied units (e.g. S1 and M1) 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