In this video, the steps to solve question 7 in grade 12 practice on finding a polynomial given two remainders and a factor are presented.
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Question:
When polynomial \( P(x) \) is divided by \( x + 1 \), the remainder is equal to \( 4 \) and when \( P(x) \) is divided by \( x - 2 \) it gives a remainder equal to \( 4 \).
Polynomial \( p(x) \) has degree \( 3 \) and has \( x - 1 \) as a factor. The leading coefficient of \( P(x) \) is equal to \( 1 \). Find \( P(x) \)
Find a Polynomial Given Remainders and a Factor - Question 7 on Video
