Question

when 2x^3 - 9x^2 + 10x - p is divided by (x+1) remainder is -24. Find P

Answer 1

Step-by-step explanation:

f(x)=2x

3

−9x

2

+10x−p

And remainder r=−24, when f(x) is divided by (x+1)

Let us assume x+1=0⇒x=−1

∴ By remainder theorem,

f(−1)=−24

⇒2(−1)

3

−9(−1)

2

+10(−1)−p=−21

⇒−2−9−10−p+24=0

⇒−21+24−p=0

⇒3−p=0

⇒p=3

Therefore, the value of p is 3.