Answer :

Let f(x) = x3 + 3x2 – 5x + 36.

By factor theorem,


x + 4 = 0: x = – 4


If f(– 4) = 0, then (x + 4) is a factor


f(– 4) = (– 4)3 + 3(– 4)2 – 5(– 4) + 36


= – 64 + 48 + 20 + 36


= – 64 + 104 = 40


f(– 4) is not equal to 0


So, (x + 4) is not a factor of f(x).


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Smart Revision | Lets Solve Some Qs From AlgebraSmart Revision | Lets Solve Some Qs From AlgebraSmart Revision | Lets Solve Some Qs From Algebra43 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

One of the factorTamilnadu Board Math Term-I

The root of polynTamilnadu Board Math Term-I

The root of polynTamilnadu Board Math Term-I

The polynomial 4xTamilnadu Board Math Term-I

The degree of polTamilnadu Board Math Term-I

If (ax – b) is a Tamilnadu Board Math Term-I

The coefficient oTamilnadu Board Math Term-I

One of the factorTamilnadu Board Math Term-I

Determine whetherTamilnadu Board Math Term-I

Using factor theoTamilnadu Board Math Term-I