Question

12. Verify division algorithm for the polynomials f(x) = 8 + 20x + x^2 - 6x^3
and g(x) = 2 + 5x - 3x^2.
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Answer 1

Answer:

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Answer 2

Answer:

,,We can write f(x) as –6x3 + x2 + 20x + 8 and g(x) as –3x2 + 5x + 2 Quotient = 2x + 3  Remainder = x + 2  By using division rule, we have  Dividend = Quotient × Divisor + Remainder  ∴ –6x3 + x2 + 20x + 8 = (–3x2 + 5x + 2) (2x + 3) + x + 2  ⇒ –6x3 + x2 + 20x + 8 = –6x3 + 10x2 + 4x –9x2 + 15x + 6 + x + 2  ⇒ –6x3 + x2 + 20x + 8 = –6x3 + x2 + 20x + 8Read more on Sarthaks.com - https://www.sarthaks.com/129339/verify-division-algorithm-for-the-polynomial-f-x-8-20x-x-2-6x-3-by-g-x-2-5x-3x-2