MATHEMATICS
JAMB 2021 - Question 13
Mathematics 2021 JAMB Past Questions - Question 13: Find the value of k if y −1 is a factor of y³ + 4y² + ky − 6
A:
B:
C:
D:
Correct Answer
D
Explanation
To find the value of k if y - 1 is a factor of y³ + 4y² + ky - 6, we can use the factor theorem.According to the factor theorem, if y - 1 is a factor of the polynomial, then substituting y = 1 into the polynomial should result in zero.Let's substitute y = 1 into the polynomial y³ + 4y² + ky - 6:(1)³ + 4(1)² + k(1) - 6 = 1 + 4 + k - 6 = 5 + k - 6 = k - 1Since we want this expression to equal zero, we set k - 1 = 0 and solve for k:k - 1 = 0k = 1Therefore, the value of k is 1.
Frequently Asked Questions
Examkits is a JAMB CBT practice platform that provides over 20 years of past questions, Post UTME questions, and detailed video solutions to help students prepare for their exams.
You can practice JAMB past questions online, on Android, or on a desktop using the Examkits app. Just register on our website and choose your preferred device.
Yes. Our Android and Windows versions support offline usage. Once downloaded and activated, no internet is required to use most of the features.
Yes, Examkits provides detailed video explanations for all JAMB past questions from 2000 to 2024, helping students understand how to solve each problem.
Examkits offers free practice for some subjects. However, full access requires a one-time affordable activation fee for each version of the app.