Share
Notifications

View all notifications
Advertisement

Use the Remainder Theorem to Find Which of the Following is a Factor of 2x3 + 3x2 – 5x – 6. 2x – 1 - Mathematics

Login
Create free account


      Forgot password?

Question

Use the Remainder Theorem to find which of the following is a factor of 2x3 + 3x2 – 5x – 6. 

2x – 1 

Solution

By remainder theorem we know that when a polynomial f (x) is divided by x – a, then the remainder is f(a).  

Let f(x) = 2x3 + 3x2 – 5x – 6 

`f(1/2)=2(1/2)^3+3(1/2)^2-5(1/2)-6` 

`1/4+3/4-5/2-6`  

`-5/2-5=-15/2`≠0 

Thus, (2x – 1) is not a factor of the polynomial f(x)

  Is there an error in this question or solution?
Advertisement

APPEARS IN

 Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 8: Remainder and Factor Theorems
Exercise 8(A) | Q: 3.2 | Page no. 108
Advertisement

Video TutorialsVIEW ALL [2]

Use the Remainder Theorem to Find Which of the Following is a Factor of 2x3 + 3x2 – 5x – 6. 2x – 1 Concept: Remainder Theorem.
Advertisement
View in app×