Math Is Fun Forum

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Find Sum of a, b, c, and d

Problem 27; page 62.

Find the sum of a, b, c, and d if

x^3 - 2x^2 + 3x + 5 ÷ x + 2 = ax^2 + bx + c + (d)/(x + 2)).

After using synthetic division, I got the following polynomial:

x^2 - 4x + 11 with remainder -17.

Let S = sum

S = a + b + c + d

S = 1 - 4 + 11 - 17

S = -9

The answer in the back of the book is -9.

I just want to know if my work is correct here.

NOTE:

One day College Algebra and the next day Precalculus moving forward.

Bob

Administrator

Registered: 2010-06-20

Posts: 10,627

Re: Find Sum of a, b, c, and d

All correct.

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Find Sum of a, b, c, and d

All correct.

Bob

This is what I mean by an interesting question not typically assigned to students on a test or homework.