Question

Find the divisor g(x), when the polynomial p(x) = 4x³ + 2x² – 10x + 2 is divided g(x) and the quotient and remainder obtained are (2x² + 4x + 1) and 5 respectively.​

Answer 1

Answer:

Here it is given that the dividend is p(x)=4x3+2x2−10x+2, the divisor is g(x), the quotient is 2x2+4x+1 and the remainder is 5, therefore,

4x3+2x2−10x+2=[g(x)(2x2+4x+1)]+5⇒g(x)=2x2+4x+14x3+2x2−10x+2