Question

if x-a is a factor of x cube -ax square + 2x +a-1 ,the value of a​

Answer 1

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Let p(x) = x³ - ax² + 2x + a - 1

Since x-a is a factor of p(x),

x is a zero and

p(a) = 0

p(a) = (a)³ - a(a)² + 2(a) + a - 1 =0

a³ - a³ + 2a + a - 1 = 0

3a = 1

a = 1/3

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Answer 2

Answer:a=1/3

Step-by-step explanation:

Let P(x)=0

For x-a=0

x=a

P(x)=(a)^3-a×(a)^2+2×a+a-1

0=a^3-a^3+2a+a-1

1=3a

a=1/3