2) If the polynomial (yº - 5y2 + 7y + m) is divided by (y + 2) and the remainder is 50 Sy) then find the value of m' by completing the activity.
Sol"- P(y) = y3 - 5y2 + 7y + m
Divisor = 0 .. take y = -2
By remainder theorem,
P(-2) = (-2) - 5(-2)2 + 7(-2) + m
= -8-5 (4) -14 + m
= + m
But remainder = 0 ----(given)
+ m = 50
m = 50 + 42
... m = 92.
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Answer:
P(-2) = (-2) - 5(-2)2 + 7(-2) + m
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