Question

a polynomial p(x)is divided by 2x-1 the quotient and the remainder obtained are 7x2+x+5 and 4 respectively ​

Answer 1

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