Question

Find the value of a, if (x-a) is a factor of p(x)= x^3 - ax2 + 2x + a - 1?​

Answer 1

if x-a is a factor x=a

sub in that eq.

p(a)=a³-a³+2a+a-1=0

3a=1

a=1/3...

Answer 2

Answer:

If (x-a) is a factor

Then x-a = 0

x=a

Step-by-step explanation:

p(x) = x^3 - ax2 + 2x + a - 1

p(a) = a³ - a * a² + 2a + a-1

0 = a³ - a³ + 3a - 1

0 = 3a - 1

1 = 3a

a = 1/3