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sologuitar

Member

Registered: 2022-09-19

Posts: 467

Synthetic Division

Hi there. I am currently in the review section of my college algebra textbook in my self-study journey. Section R.6 covers Synthetic Division.

Divide 0.1x^3 + 0.2x by x + 1.1

amnkb

Member

Registered: 2023-09-19

Posts: 253

Re: Synthetic Division

Hi there. I am currently in the review section of my college algebra textbook in my self-study journey. Section R.6 covers Synthetic Division.

Divide 0.1x^3 + 0.2x by x + 1.1

add a term for the missing power:

0.1x^3 + 0x^2 + 0.2x + 0

do the synethtic division setup

synthetic division:

-1.1 | 0.1 0.0 0.2 0.0
     |
     -----------------

then do the steps

synthetic division:

-1.1 | 0.1  0.00  0.200  0.0000
     |     -0.11  0.121 -0.3531
     --------------------------
       0.1 -0.11  0.321 -0.3531

sologuitar

Member

Registered: 2022-09-19

Posts: 467

Re: Synthetic Division

Hi there. I am currently in the review section of my college algebra textbook in my self-study journey. Section R.6 covers Synthetic Division.

Divide 0.1x^3 + 0.2x by x + 1.1

add a term for the missing power:

0.1x^3 + 0x^2 + 0.2x + 0

do the synethtic division setup

synthetic division:

-1.1 | 0.1 0.0 0.2 0.0
     |
     -----------------

then do the steps

synthetic division:

-1.1 | 0.1  0.00  0.200  0.0000
     |     -0.11  0.121 -0.3531
     --------------------------
       0.1 -0.11  0.321 -0.3531

Perfect. Thank you. I will post my work later.

sologuitar

Member

Registered: 2022-09-19

Posts: 467

Re: Synthetic Division

Hi there. I am currently in the review section of my college algebra textbook in my self-study journey. Section R.6 covers Synthetic Division.

Divide 0.1x^3 + 0.2x by x + 1.1

add a term for the missing power:

0.1x^3 + 0x^2 + 0.2x + 0

do the synethtic division setup

synthetic division:

-1.1 | 0.1 0.0 0.2 0.0
     |
     -----------------

then do the steps

synthetic division:

-1.1 | 0.1  0.00  0.200  0.0000
     |     -0.11  0.121 -0.3531
     --------------------------
       0.1 -0.11  0.321 -0.3531

0.1(-1.1) = -0.11

-0.11 + 0.00 = -0.11

-0.11(-1.1) = 0.121

0.121 + 0.200 = 0.321

0.321 + -1.1 = -0.3531

Answer: 0.1x^2 - 0.11x + 0.321, remainder -0.3531