Sarthaks Test
+1 vote
1.8k views
in Mathematics by (35.6k points)

Find the integral roots of the polynomial f(x) = x3 +6x2 +11x +6

1 Answer

+1 vote
by (61.7k points)
selected by
 
Best answer

We have

f(x) = x3 +6x2 +11x +6

Clearly, f (x) is a polynomial with integer coefficient and the coefficient of the highest degree term i.e., the leading coefficients is 1. 

Therefore, integer roots of f(x) are limited to the integer factors of 6, which are 

+-1, +-2, +-3, +-6 

We observe that 

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...