Question

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

Answer 1

The value of 'a' will be -2 . As x-a is the factor of the given eqn.Put the value 'a' in the given eqn. and equate it with 0. You will get the ans.

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