A monic polynomial P(x) of degree 3 satisfies the following conditions: divides P(x)+1 exactly divides P(x)-1 exactly and P(0)=1 Determine P(x)
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Originally Posted by nerdzor A monic polynomial P(x) of degree 3 satisfies the following conditions: divides P(x)+1 exactly divides P(x)-1 exactly and P(0)=1 Determine P(x) Your polynomial will be in the form: when factor is divided hence root is . Therefore, . when factor is divided hence root is . Therefore, . You have 2 simultaneous equation. Just got to solve for and you will have your monic polynomial .
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