What must be added or subtracted to p x 8x4+ 14x3 2x2+ 8x 12 so that 4x2+ 3x 2 is a factor of p x )?

What must be subtracted from p x =8 x 4+14 x 3 2 x 2+8 x 12 so that 4 x 2+3 x 2 is factor of p x ? This question was given to group of students for wirking together. Do you think teacher should promote work?

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