Question

find the volume of a if ( x - a) is a factor of x³ - ax ² + 2x+ a-1 ​

Answer 1

$\huge\underline\mathtt\red{Answer}\huge\pink{♡}$

⇒ (x−a) is factor of x

3

−ax

2

+2x+a−1

⇒ Then, a is the zero of polynomial p(x)=x

3

−ax

2

+2x+a−1

⇒ p(x)=x

3

−ax

2

+2x+a−1

⇒ p(a)=(a)

3

−a(a)

2

+2(a)+a−1

⇒ 0=a

3

−a

3

+2a+a−1

⇒ a

3

−a

3

+2a+a−1=0

⇒ 3a−1=0

⇒ 3a=1

∴ a=

3

1

Answer 2

Answer:

Step-by-step explanation: