Math, asked by mangluk9aputt, 1 year ago

Find the value of a, if (x – a) is a factor of x3 – a2x + x + 2.

Answers

Answered by QHM
79
f(x)=x3-a2+x+2
f(a)=a3-a3+a+2
      = a+2=0
      =>a=-2
Answered by wifilethbridge
53

Answer:

a = -2

Step-by-step explanation:

Given : (x – a) is a factor of x^3 -a^2x + x + 2=0

To Find : Find the value of A

Solution:

We are given that (x-a) is a factor

So, x-a = 0

x = a

So, a is the root of given equation

Since a is the root of equation

So, it must satisfy the equation.

a^3 -a^2(a) + a + 2=0

a^3 -a^3+ a + 2=0

a + 2=0

a =-2

Hence the value of a is -2

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