GIVEN:x + 2 is a factor of x2 + ax + 8Concept Used:If p(x) be a function and (x - a) be a factor of p(x) then, p(a) = 0CalculationLet, p(x) = x2 + ax + 8x + 2 is factor of p(x)⇒ x + 2 = 0 ⇒ x = -2Then 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 required ANSWER is a = 6 "> GIVEN:x + 2 is a factor of x2 + ax + 8Concept Used:If p(x) be a function and (x - a) be a factor of p(x) then, p(a) = 0CalculationLet, p(x) = x2 + ax + 8x + 2 is factor of p(x)⇒ x + 2 = 0 ⇒ x = -2Then 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 required ANSWER is a = 6 ">
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If x + 2 is a factor of x2 + ax + 8 then a =

Digital Circuits Number System in Digital Circuits . 6 months ago

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GIVEN:x + 2 is a factor of x2 + ax + 8Concept Used:If p(x) be a function and (x - a) be a factor of p(x) then, p(a) = 0CalculationLet, p(x) = x2 + ax + 8x + 2 is factor of p(x)⇒ x + 2 = 0 ⇒ x = -2Then 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 required ANSWER is a = 6
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Posted on 25 Nov 2024, this text provides information on Digital Circuits related to Number System in Digital Circuits. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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