Question

Assertion (A) and Reason (R)

Assertion (A):
If a polynomial \(f(x)\) is divisible by \((x-a)^m\), but not divisible by \((x-a)^{m+1}\), then \(a\) is called a root of multiplicity \(m\) of the equation \(f(x)=0\).

Reason (R):
\(x=-1\) is the root of multiplicity \(3\) of the equation \[ x^4+x^3-3x^2-5x-2=0. \]
 

• A. Both (A) and (R) are correct and (R) is the correct explanation of (A)
• B. Both (A) and (R) are correct but (R) is not the correct explanation of (A)
• C. (A) is correct but (R) is not correct
• D. (A) is not correct but (R) is correct

Hint:

If \((x-a)^m\) is a factor of a polynomial, then \(a\) is a repeated root of multiplicity \(m\).

Answer 1

The Correct Option is B