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- Synthetic Division Calculator
This calculator divides polynomials using the synthetic division and, also, determines the remainder if given polynomial is divided by $x−c$. The calculator display the work process and the detailed explanation.
Result:
$ p(x) = 3x^{3}-5x+2$
Unsolved (Invisible Book 2) by James Patterson (Author), David Ellis (Author) 4.7 out of 5 stars (737) $10.99 In the long-awaited follow-up to the #1 bestselling thriller INVISIBLE. T he perfect murder always looks like an accident. FBI agent Emmy Dockery is absolutely relentless. =x=8,3 log2(x-6)+log2(x- 4)=log2x =log2(x-6)(x- 4)=log2x =(x-6)(x- 4)=x =x^2-10x+24-x=0 =x^2-11x+24=0 =x^2-8x-3x+24=0 =x(x-8)-3(x-8)=0 =(x-8)(x-3)=0.
$ q(x) = x+4$ Privatus 6 1 86.
The synthetic division table is:
$$begin{matrix}begin{array}{r} -4 ~ end{array} & underline { begin{array}{rrrr} 3&0&-5&2 ~~~~&-12&48&-172 end{array} } ~ & begin{array}{rrrr} color{blue}{ 3 }&color{blue}{ -12 }&color{blue}{ 43 }&color{red}{ -170 } end{array}end{matrix}$$So we have
$$frac{ 3x^{3}-5x+2 }{ x+4 } = color{blue}{ 3 }x^{2}color{blue}{ -12 }x~color{blue}{ + }~color{blue}{ 43 } color{red}{~-~} frac{ color{red}{ 170 } }{ x+4 }$$Explanation:
Step 1 : Write down the coefficients of the polynomial $ p(x) $. Put the zero from $ x + 4 = 0 $ ( $ x = color{red}{ -4 } $ ) at the left.
$$begin{matrix}begin{array}{r} color{red}{ -4 } ~ end{array} & underline { begin{array}{rrrr} 3&0&-5&2 ~~~~&~~~~&~~~~&~~~~ end{array} } ~ & begin{array}{rrrr} ~~~&~~~&~~~&~~~ end{array}end{matrix}$$Step 2 : Bring down the leading coefficient to the bottom row.
$$begin{matrix}begin{array}{r} -4 ~ end{array} & underline { begin{array}{rrrr} color{blue}{ 3 }&0&-5&2 ~~~~&~~~~&~~~~&~~~~ end{array} } ~ & begin{array}{rrrr} color{red}{ 3 }&~~~&~~~&~~~ end{array}end{matrix}$$Step 3 : Multiply by the number on the left, and carry the result into the next column: $ color{blue}{ -4 } cdot color{blue}{ 3 } = color{red}{ -12 } $
$$begin{matrix}begin{array}{r} color{blue}{ -4 } ~ end{array} & underline { begin{array}{rrrr} 3&0&-5&2 ~~~~&color{red}{ -12 }&~~~~&~~~~ end{array} } ~ & begin{array}{rrrr} color{blue}{ 3 }&~~~&~~~&~~~ end{array}end{matrix}$$Step 4 : Add down the column: $ color{blue}{ 0 } + color{blue}{ left( -12 right) } = color{red}{ -12 } $
$$begin{matrix}begin{array}{r} -4 ~ end{array} & underline { begin{array}{rrrr} 3&color{blue}{ 0 }&-5&2 ~~~~&color{blue}{ -12 }&~~~~&~~~~ end{array} } ~ & begin{array}{rrrr} 3&color{red}{ -12 }&~~~&~~~ end{array}end{matrix}$$Step 5 : Multiply by the number on the left, and carry the result into the next column: $ color{blue}{ -4 } cdot color{blue}{ left( -12 right) } = color{red}{ 48 } $
$$begin{matrix}begin{array}{r} color{blue}{ -4 } ~ end{array} & underline { begin{array}{rrrr} 3&0&-5&2 ~~~~&-12&color{red}{ 48 }&~~~~ end{array} } ~ & begin{array}{rrrr} 3&color{blue}{ -12 }&~~~&~~~ end{array}end{matrix}$$Step 6 : Add down the column: $ color{blue}{ -5 } + color{blue}{ 48 } = color{red}{ 43 } $
2017 isuzu axiom owners manual. Step 7 : Multiply by the number on the left, and carry the result into the next column: $ color{blue}{ -4 } cdot color{blue}{ 43 } = color{red}{ -172 } $
$$begin{matrix}begin{array}{r} color{blue}{ -4 } ~ end{array} & underline { begin{array}{rrrr} 3&0&-5&2 ~~~~&-12&48&color{red}{ -172 } end{array} } ~ & begin{array}{rrrr} 3&-12&color{blue}{ 43 }&~~~ end{array}end{matrix}$$Step 8 : Add down the column: $ color{blue}{ 2 } + color{blue}{ left( -172 right) } = color{red}{ -170 } $
$$begin{matrix}begin{array}{r} -4 ~ end{array} & underline { begin{array}{rrrr} 3&0&-5&color{blue}{ 2 } ~~~~&-12&48&color{blue}{ -172 } end{array} } ~ & begin{array}{rrrr} 3&-12&43&color{red}{ -170 } end{array}end{matrix}$$Bottom line represents the polynomial quotient $ left( 3x^{2}-12x+43 right) $ with a remainder of $ -170 $.
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