Question

Find the value ofa, if (x-a) is a factor of x^3-a^2x+x+2​

Answer 1

x-a is a factor of given polynomial then x-a=0

x=a put in given exp

(a)3 - a sq(a) + a +2=0

a cube - a cube +a+2=0

a 3 cancel

a+2=0

a=-2 ans

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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