Question

verify division algorithm for the polynomial f(x)=8+20x+x^2-6x^3 and g(x)=2+5x-3x^2

Answer 1

Answer:

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Step-by-step explanation:

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 + 8.