If the polynomial y3 – 5y2 + 7y + m is divided by y+2 and the remainder is 50 then find the value of m.
Put y = -2 throughout the given polynomial
(-2)3 – 5 × (-2)2 + 7 × (-2) + m = 50
-8 – 20 -14 + m = 50
-28 + 14 + m = 50
-14 + m = 50
m = 50 + 14
m = 64
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