Question

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

Answer 1

Answer:

3

Step-by-step explanation:

Answer 2

SOLUTION

TO DETERMINE

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

EVALUATION

Let

$\sf{f(y) = 2 {y}^{2} + 3y + 1}$

$\sf{g(y) = y + 2}$

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)

$\sf{ = 2 \times {( - 2)}^{2} + 3 \times ( - 2) + 1 }$

$\sf{ = 8 - 6 + 1}$

$\sf{ = 3}$

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