Skip to content
MathsGenie logo
Quick links
Open app

Course home

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

1.1.10 Algebra and functions

EasyMediumHard
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859
Question 51

Given that

f(x)=2x3−5x2+8x+k f(x) = 2x^3 - 5x^2 + 8x + k f(x)=2x3−5x2+8x+k

where kkk is a constant.

Given that (2x−1)(2x - 1)(2x−1) is a factor of f(x)f(x)f(x),

a.

use the factor theorem to show that k=−3k = -3k=−3.

[3]
b.

Hence show that the equation f(x)=0f(x) = 0f(x)=0 has only one real root.

[4]

1.1.10 Algebra and functions Questions

  1. A Level
  2. /Maths
  3. /1.1.10 Algebra and functions