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if f(x)=x^4+x^3-2x^2-8x then which of the following are true?(a)f(x)=0 has 2 real roots . (b)f(x)=0 has real roots in (-1,2) sum of real roots of f(x)=0 is 2 (d) product of real roots isof f(x)=0 is 2. mutiple correct type

if f(x)=x^4+x^3-2x^2-8x then which of the following are true?(a)f(x)=0 has 2 real roots . (b)f(x)=0 has real roots in (-1,2)
  1. sum of real roots of f(x)=0 is 2 (d) product of real roots isof f(x)=0 is 2. mutiple correct type

Grade:12th pass

2 Answers

Y RAJYALAKSHMI
45 Points
7 years ago
Is there any constant term in the given polynomial?  If there is no constant,  then one of the roots will be ‘0’ and the other root is ‘2’.  Other roots are complex.
 
No. of real roots = 2
Sum of real roots =0+2=2
 
Options (a) & (c) are correct.
 
 
SHAIK AASIF AHAMED
askIITians Faculty 74 Points
7 years ago
Hello student,
Please find the answer to your question below
Iam unable to interpret your query.i think some part of the question is missing here because check whether constant term is present or not.
If there is no constant, then one of the roots will be ‘0’ and the other root is ‘2’. Other roots are complex.

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