Find the reaminder when x^3+3x^2+3x+1 is divided by :x-1/2
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Using Euler’s formula find the number of faces(F) in polyhedron , given its
number of edges (E) is 20 and the number of vertices(V) is 15.
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The root of x - (1/2) = 0 is 1/2.
p(1/2) = (1/2)3 + 3(1/2)2 + 3(1/2) + 1
= 1/8 + 3/4 + 3/2 + 1
= (1 + 6 + 12 + 8)/8
= 27/8
ʜᴇɴᴄᴇ ʙʏ ᴛʜᴇ ʀᴇᴍᴀɪɴᴅᴇʀ ᴛʜᴇᴏʀᴇᴍ, 27 / 8 ɪs ᴛʜᴇ ʀᴇᴍᴀɪɴᴅᴇʀ ᴡʜᴇɴ x3 + 3x2 + 3x + 1 ɪs ᴅɪᴠɪᴅᴇᴅ ʙʏ x.
Hope It'll Helps!
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