How do you use the remainder theorem to find P(a) P(x)=2x^3+4x^2-10x -9P(x)=2x3+4x2−10x−9,a=3?

1 Answer
Alan P.
Feb 6, 2016

P(a=3)=51P(a=3)=51

Explanation:

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

Related questions
See all questions in Remainder and Factor Theorems
Impact of this question
4058 views around the world
You can reuse this answer
Creative Commons License