Polynomials Question (1 Viewer)

Audranda

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Could someone please do this question with working out and explanation?
When a polynomial is divided by x-p, the remainder is p^3. When the polynomial is divided by x-q, the remainder is q^3. Find the remainder when the polynomial is divided by (x-p)(x-q)

Answer: (p^2 + pq + q^2)x - pq(p+q)
 

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