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Question
Find without division, the remainder in the following :
x3 + 8x2 + 7x- 11 is divisible by (x+4)
Solution
x3 + 8x2 + 7x- 11 is divisible by (x+4)
Putting x + 4 = 0, we get : x = -4
Substituting this value of x in the equation, we get
( -4) × (-4) × (-4) + 8 × ( -4 ) × ( -4) + 7× ( -4) - 11
= - 64 + 128 - 28 - 11
= 25
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