Question

Divide and in each case check your answer using the relation ` Dividend= Divisor × Quotient+ Remainder 1. 6p³+5 p²+4 by (2 p+1) 2. x³+4x-3 by ( X+5) tell me the right answer plz​

Answer 1

Step-by-step explanation:

We know that the division algorithm states that:

Dividend=(Divisor×quotient)+Remainder

Here it is given that the dividend is p(x)=4x

3

+2x

2

−10x+2, the divisor is g(x), the quotient is 2x

2

+4x+1 and the remainder is 5, therefore,

4x

3

+2x

2

−10x+2=[g(x)(2x

2

+4x+1)]+5

⇒g(x)=

2x

2

+4x+1

4x

3

+2x

2

−10x+2

The division is shown above.

Hence, from the above division, we get that the divisor is g(x)=2x−3