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4.2 properties of division Long division of polynomials EXAMPLE -FIND THE QUOTIENT AND REMAINDER IF THE FIRST POLYNOMIAL IS DIVIDED BY THE SECOND 2x³ 3x² + 4x-6; x-2 X-2 U→ -(2x³-4x²) 2x² + x + 6 2x³-3x² + 4x-6 MULTIPLY 4 x² + 4x-6 (x²-2x) Synthetic division of polynomials EXAMPLE -FIND THE QUOTIENT AND REMAINDER IF THE FIRST POLYNOMIAL IS DIVIDED BY THE SECOND X-C 2x³ 3x² + 4x-6; x-2 22 - 3 ↓ 4 2 1 box-to -(6x-12) 6 3x4 2x² + x + 6 4 -6 12 6o 3 0 3 1-12 QUOTIENT: 3x³-12x² + 8 REMAINDER: 0 to REMAINDER: 6 -48 8 0 10 DO X-C 48x² + 8x + 32 ; x+4 8 REMAINDER: 6 QUOTIENT: 2X¹+X+6 QUOTIENT: 3x³-12x² + 8 REMAINDER: 0 m 3 BRING THE FIRST NUMBER DOWN (2) MULTIPLY (2) BY THE NUMBER YOU'RE DIVIDING BY (2) PUT THE ANSWER UNDER THE NEXT NUMBER AND ADD REPEAT 32 -32 101 NEED PLACEHOLDER IF YOU'RE MISSING A VARIABLE! (x³) f(x) 3x4 - 48x² + 8x + 32 ; x+4
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Dividing with polynomials
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Long and synthetic division of polynomials
Water Reindeer
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Long and synthetic division of polynomials
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4.2 properties of division Long division of polynomials EXAMPLE -FIND THE QUOTIENT AND REMAINDER IF THE FIRST POLYNOMIAL IS DIVIDED BY THE SECOND 2x³ 3x² + 4x-6; x-2 X-2 U→ -(2x³-4x²) 2x² + x + 6 2x³-3x² + 4x-6 MULTIPLY 4 x² + 4x-6 (x²-2x) Synthetic division of polynomials EXAMPLE -FIND THE QUOTIENT AND REMAINDER IF THE FIRST POLYNOMIAL IS DIVIDED BY THE SECOND X-C 2x³ 3x² + 4x-6; x-2 22 - 3 ↓ 4 2 1 box-to -(6x-12) 6 3x4 2x² + x + 6 4 -6 12 6o 3 0 3 1-12 QUOTIENT: 3x³-12x² + 8 REMAINDER: 0 to REMAINDER: 6 -48 8 0 10 DO X-C 48x² + 8x + 32 ; x+4 8 REMAINDER: 6 QUOTIENT: 2X¹+X+6 QUOTIENT: 3x³-12x² + 8 REMAINDER: 0 m 3 BRING THE FIRST NUMBER DOWN (2) MULTIPLY (2) BY THE NUMBER YOU'RE DIVIDING BY (2) PUT THE ANSWER UNDER THE NEXT NUMBER AND ADD REPEAT 32 -32 101 NEED PLACEHOLDER IF YOU'RE MISSING A VARIABLE! (x³) f(x) 3x4 - 48x² + 8x + 32 ; x+4
4.2 properties of division Long division of polynomials EXAMPLE -FIND THE QUOTIENT AND REMAINDER IF THE FIRST POLYNOMIAL IS DIVIDED BY THE SECOND 2x³ 3x² + 4x-6; x-2 X-2 U→ -(2x³-4x²) 2x² + x + 6 2x³-3x² + 4x-6 MULTIPLY 4 x² + 4x-6 (x²-2x) Synthetic division of polynomials EXAMPLE -FIND THE QUOTIENT AND REMAINDER IF THE FIRST POLYNOMIAL IS DIVIDED BY THE SECOND X-C 2x³ 3x² + 4x-6; x-2 22 - 3 ↓ 4 2 1 box-to -(6x-12) 6 3x4 2x² + x + 6 4 -6 12 6o 3 0 3 1-12 QUOTIENT: 3x³-12x² + 8 REMAINDER: 0 to REMAINDER: 6 -48 8 0 10 DO X-C 48x² + 8x + 32 ; x+4 8 REMAINDER: 6 QUOTIENT: 2X¹+X+6 QUOTIENT: 3x³-12x² + 8 REMAINDER: 0 m 3 BRING THE FIRST NUMBER DOWN (2) MULTIPLY (2) BY THE NUMBER YOU'RE DIVIDING BY (2) PUT THE ANSWER UNDER THE NEXT NUMBER AND ADD REPEAT 32 -32 101 NEED PLACEHOLDER IF YOU'RE MISSING A VARIABLE! (x³) f(x) 3x4 - 48x² + 8x + 32 ; x+4
Can't find what you're looking for? Explore other subjects.
Knowunity is the # 1 ranked education app in five European countries
Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.
Still not sure? Look at what your fellow peers are saying...
iOS User
I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D
Stefan S, iOS User
The application is very simple and well designed. So far I have found what I was looking for :D
SuSSan, iOS User