If the polynomial 2y2 + 3y + 1 is divided by y + 2, the remainder is​

2 thoughts on “If the polynomial 2y2 + 3y + 1 is divided by y + 2, the remainder is​”

1. SOLUTION

   TO DETERMINE

   The remainder when 2y² + 3y + 1 is divided by y + 2

   EVALUATION

   Let

   [tex] \sf{f(y) = 2 {y}^{2} + 3y + 1}[/tex]

   [tex] \sf{g(y) = y + 2}[/tex]

   Now for the zero of polynomial g(y) we have

   g(y) = 0

   ⇒y + 2 = 0

   ⇒y = – 2

   Hence by the Remainder Theorem the required Remainder when f(y) is divided by g(y) is

   f(-2)

   [tex] \sf{ = 2 \times {( – 2)}^{2} + 3 \times ( – 2) + 1 }[/tex]

   [tex] \sf{ = 8 – 6 + 1}[/tex]

   [tex] \sf{ = 3}[/tex]

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2. Answer:

   3

   Step-by-step explanation:

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