Question

$the \: polynomial \: px {}^{3} \\ + 4x {}^{2} - 3x + q \: is \: completely \: divisible \: by \: x {}^{2} - 1 \: find \: the \: values \: of \: p \: and \: q$
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Answer 1

p=3 and q= -4

your required polynomial is 3x³+4x²-3x-4