a polynomial p(x)is divided by 2x-1 the quotient and the remainder obtained are 7x2+x+5 and 4 respectively
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p(x) = 14x³ - 5x² + 9x - 1
Step-by-step explanation:
p(x) = (2x-1)(7x² + x + 5) + 4
=> p(x) = 14x³ + 2x² + 10x - 7x² - x - 5 + 4
=> p(x) = 14x³ + 2x² - 7x² + 10x - x - 1
=> p(x) = 14x³ - 5x² + 9x - 1
14x³ - 5x² + 9x - 1 when divided by (2 x- 1) , the Quotient = 7x² + x + 5 and remainder = 4
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