Question

find the value of a if x-a is a factor of. x^3-a^2x+x+2​

Answer 1

Answer:

Step-by-step explanation:

if x-a is a factor of  x^3-a^2x+x+2​

then a^3 - a^2(a) + a + 2 = 0 (Substitute x=a, x-a is a factor)

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

a+2=0

a =  -2

Answer 2

Answer

a = -2

Step-by-step explanation

x - a is factor of polynomial ⇒ x - a = 0 ⇒ x = a

Given Polynomial : p(x) = x³ - ax² + x + 2

• Substitute x = a in polynomial p(x)

x³ - ax² + x + 2 = 0

⇒ a³ - a(a)² + a + 2 = 0

⇒ a³ - a³ + a + 2 = 0

⇒ a + 2 = 0

⇒ a = 0 - 2

⇒ a = -2