Question

When 2x^3-9x^2+10x-p is divided by (X+1),the remainder is -24.find the value of p only answer

Answer 1

Answer:

hope it is helpful to you

Answer 2

Step-by-step explanation:

Given polynomial is p(x)=2x³-9x²+10x-p

The divisor=x+1

Remainder=-24

We know that by the remainder theorem

If p(x) is divided by (x-a) then the remainder is p(a).

the given polynomial is divided by(x+1) then the remainder is p(-1).

according to the problem remainder is p(-1)=-24

p(-1)=2(-1)³-9(-1)²+10(-1)-p=-24

=>2(-1)-9(1)+10(-1)-p=-24

=>-2-9-10-p=-24

=>-21-p=-24

=>-p=-24+21

=>-p=-3

=>p=3

The value of p =3

Remainder theorem:-

Let p(x) be a polynomial of the degree greater than or equal to 1 and p(x) is divided by another linear polynomial (x-a) then the remainder is p(a).