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# Synthetic Division of Polynomials (Grades 11-12)

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## Synthetic Division of Polynomials

1.
Use synthetic division to divide the polynomials: $(x^2-5x-24)/(x-8)$.
1. $x^2+3$
2. $x+3$
3. $x-3$
4. $x+3+(8)/(x-8)$
2.
Use synthetic division to divide the polynomials: $(3m^2+16m-12)/(m+6)$.
1. $3m-2$
2. $m-2$
3. $3m-2+(8)/(m-2)$
4. $3m+2$
3.
Use synthetic division to divide the polynomials: $(x^3+64)/(x+4)$.
1. $x^2+16$
2. $x^2-16x+4$
3. $x^2-4x+16$
4. $x^2-4$
4.
Use synthetic division to divide the polynomials: $(z^3-8)/(z-2)$.
1. $z^2-2z+4$
2. $z^2+4z+4$
3. $z^2+2z+4$
4. $z^2+2z-4$
5.
Use synthetic division to divide the polynomials: $(x^2+2x-63)/(x+9)$.
1. $x-7$
2. $x+7$
3. $x^2-7$
4. $x^2+3x-54$
6.
Use synthetic division to divide the polynomials: $(x^2-14x+45)/(x-5)$.
1. $x+9$
2. $9-x$
3. $x+5$
4. $x-9$
7.
Use synthetic division to divide the polynomials: $(y^2+14y+49)/(y+7)$.
1. $y-7$
2. $y^2+7$
3. $y+7$
4. $y+(7)/(y+7)$
8.
Use synthetic division to divide the polynomials: $(x^2+7x+7)/(x+3)$.
1. $(x+4)/(x+3)$
2. $x+5$
3. $x+4+(5)/(x+3)$
4. $x+4+(-5)/(x+3)$
9.
Use synthetic division to divide the polynomials: $(8x^3+6x^2+7) รท (x + 2)$.
1. $8x^2-10x+20+(-33)/(x+2)$
2. $8x^2-10x+20+(33)/(x+2)$
3. $-8x^2+10x-20+(-33)/(x+2)$
4. $8x^2-10x-20-(-33)/(x+2)$
10.
Use synthetic division to divide the polynomials: $(x^3+12x^2+20x-96)/(x-2)$.
1. $x^2+14x+8+(-4)/(x-2)$
2. $x^2+14x+48$
3. $x^3+8+(-4)/(x-2)$
4. $x^2+8x+48$
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