Divide Polynomial by Monomial 3x 2 + 6x 3x = 3x 2 3x + 6x 3x = 3xx 3x + 32x32x = x + 2 18x 2 y - 6xy + 12y 6xy = 6  3xxy 6xy - + 6  2y 6xy = 3x 1 x.

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Presentation transcript:

Divide Polynomial by Monomial 3x 2 + 6x 3x = 3x 2 3x + 6x 3x = 3xx 3x + 32x32x = x x 2 y - 6xy + 12y 6xy = 6  3xxy 6xy  2y 6xy = 3x 1 x = 3x - 1 x 2 +

Try: 24a 2 b ab - 4b 8ab 3ab Try: 4a 3 - 2a 2a 2 2a -

Divide Two Polynomials 21 ) = 32 + (x 2 - 5x + 8)  (x - 3) x - 3 ) x 2 - 5x + 8 x -2x x (x 2 - 3x) -x 2 + 3x +2x - 6

x - 3 1) Divide This answer goes on top x x(x-3) = x 2 – 3x This answer goes under x 2 – 3x 3) Change signs -x 2 + 3x 4) Add terms 7x 5) Bring down next term -8 6) Start all over again from #1 x2x2 x 2) Multiply 7) Divide This answer goes on top + 7 7(x-3) = 7x – 21 This answer goes under 8) Multiply 7x x ) Change signs 10) Add terms 13 11) No terms left to bring down 12) Write final term as a fraction with x-3 as denominator. (Don’t forget to include the sign)

Try: 12x x 2 - 6x x 3 -5x 2 -2x+3 Try: 10x 3 y - 15x 2 y + 5xy - 10y 5xy 2x 2 - 3x + 1 -