Question

Find the value of a, if (x-a) is a factor of polynomial x^3-(a^2-1)x+ 2

Answer 1

Answer:

Therefore ,the value of a is -2

Answer 2

Answer:

- 2

Step-by-step explanation:

$\large \text{Given p (x) = x^3-(a^2-1)x+2 }\\\\\\\large \ and \ g(x)=x-a \ we \ have \ to \ find \ value \ of \ a\\\\\\\large \text{Zeores of g (x) = x - a = 0 }\\\\\\\large \text{x = a}\\\\\\\large \text{Now putting x = a in p ( x )}$

$\large \text{ p (x) = x^3-(a^2-1)x+2 }\\\\\\\large \text{ p (a) = a^3-(a^2-1)a+2=0 }\\\\\\\large \text{ p (a) = a^3-a^3+a+2=0 }\\\\\\\large \text{ p (a) = a+2=0 }\\\\\\\large a=-2\\\\\\\large \text{Thus, we get value of a is - 2.}$