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Division of a Polynomial by a Monomial

Find the valu...

Question

Find the value of the polynomial $y^{3} - 5 y - 2 y^{2} + 3$ when, $y = - 2$

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Solution

The correct option is C $- 3$
Let $f (y) = y^{3} - 5 y - 2 y^{2} + 3$
When $y = - 2$
$f (- 2) = (- 2)^{3} - 5 (- 2) - 2 (- 2)^{2} + 3$
$= - 8 + 10 - 8 + 3$
$= - 16 + 13$
$= - 3$

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