Question

3. The polynomial ax ^3 + 3x^2 + 5x-4 and x^3-4x-a when divided by X-2 , equal remainder are found. Find the value of a.
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Answer 1

Answer:

Answer:

a = -2

Step-by-step explanation:

⇒ f(x) = ax³ + 3x² + 5x - 4

⇒ f(2) = 8a + 12 + 10 - 4

          = 8a + 18

⇒ f(x) = x³ - 4x - a

⇒ f(2) = 8 - 8 - a

          = -a

⇒ 8a + 18 = -a          [∵ Remainders of both the polynomials are equal]

⇒ ∴ a = -2           ←ANSWER