If x + 2 is a factor of x2 + ax + 8 then a =1. -22. 23. 84. None of t

1.	If x + 2 is a factor of x2 + ax + 8 then a =1. -22. 23. 84. None of the above
Answer» Correct Answer - Option 4 : None of the above Given: x + 2 is a factor of x2 + ax + 8 Concept Used: If p(x) be a function and (x - a) be a factor of p(x) then, p(a) = 0 Calculation Let, p(x) = x2 + ax + 8 x + 2 is factor of p(x) ⇒ x + 2 = 0 ⇒ x = - 2 Then by factor theorem p(- 2) = 0 ⇒ p(x) = x2 + ax + 8 ⇒ p(- 2) = (- 2)2 - 2a + 8 ⇒ 4 - 2a + 8 = 0 ⇒ 12 - 2a = 0 ⇒ 2a = 12 ⇒ a = 6 ∴ The None of these will be the right choice.

If x + 2 is a factor of x2 + ax + 8 then a =1. -22. 23. 84. None of the above

Answer» Correct Answer - Option 4 : None of the above

Given:

x + 2 is a factor of x2 + ax + 8

Concept Used:

If p(x) be a function and (x - a) be a factor of p(x) then, p(a) = 0

Calculation

Let, p(x) = x2 + ax + 8

x + 2 is factor of p(x)

⇒ x + 2 = 0

⇒ x = - 2

Then by factor theorem p(- 2) = 0

⇒ p(x) = x2 + ax + 8

⇒ p(- 2) = (- 2)2 - 2a + 8

⇒ 4 - 2a + 8 = 0

⇒ 12 - 2a = 0

⇒ 2a = 12

⇒ a = 6

∴ The None of these will be the right choice.

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If x + 2 is a factor of x2 + ax + 8 then a =1. -22. 23. 84. None of the above

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