Search SchoolNGR

Saturday, 28 February 2026
Register . Login

Find the value of k if y - 1 is a factor of y3 + 4y2 + ky - 6

Find the value of k if y - 1 is a factor of y3 + 4y2 + ky - 6
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
  • A -6
  • B -4
  • C O
  • D 1
Correct Answer: Option D
Explanation:
if y - 1 is a factor of y3 + 4y2 + ky - 6, then
f(1) = (1)3 + 4(1)2 + k(1) - 6 = 0 (factor theorem)
1 + 4 + k - 6 = 0
5 - 6 + k = 0
-1 + k = 0
k = 1

Share question on: