Question

How do you use the remainder theorem to find P(a) `P(x)=2x^3+4x^2-10x -9`,a=3?

Answer 1

`P(a=3)=51`

Explanation:

According to the Remainder Theorem:
`P(a) = "The Remainder of " (P(x))/((x-a))`

Using synthetic division:
`{: (,,color(white)("X")2,color(white)("X")4,-10,-9), (,,,color(white)("X")6,color(white)("X")30,color(white)("X")60), (xx(3)," | ",bar(color(white)("X")2),bar(10),bar(color(white)("XX")2),bar(color(white)("X")color(red)(51))) :}`