Divide 18X⁵ by (-3X³)
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P(x)=3x+5-(x-x²) =x²+2x+5
Q(x)=8x⁴-2x² + 15X³ - 21x+ 52
R(x) = 2x²
S(x) = 28x³ - 64x+ 100
T(x)= 8x⁹ - 7x⁸ +6x⁵ + 5x⁶
U(x) = 4x³ -2x³ + 6x³ + 12x⁵+ 6x⁵=8x³+18x⁵
1.
P(x) • Q(x)
(x²+2x+5)(8x⁴-2x² + 15X³ - 21x+ 52 )
8x⁶+31x⁵+68x⁴+50x³−x+260
2.
Q(x) + R(x)
8x⁴-2x² + 15X³ - 21x+ 52 + 2x²
8x⁴+15x³−21x+52
3.
T(x) : R(x)
(8x⁹ - 7x⁸ +6x⁵ + 5x⁶ )/2x²
4x⁷-(7/2)x⁶+(5/2)x⁴+3x³
4.
Q(x) • S(x)
(8x⁴-2x² + 15x³ - 21x+ 52 )(28x³ - 64x+ 100)
4(8x⁴-2x² + 15x³ - 21x+ 52 )(7x³ - 16x+ 25)
4(56x⁷+105x⁶−142x⁵−187x⁴+771x³+286x²−1357x+1300)
5.
T(x) + U(x)
(8x⁹ - 7x⁸ +6x⁵ + 5x⁶) + (8x³+18x⁵)
8x⁹- 7x⁸+5x⁶+24x⁵+8x³
6.
P(x) + S(x)
(x²+2x+5)+(28x³ - 64x+ 100)
28x³ +x²-62x+105
7.
U(x) : R(x)
(8x³+18x⁵)/ 2x²
9x³+4x
8.
S(x) -U(x)
(28x³ - 64x+ 100)-(8x³+18x⁵)
28x³ - 64x+ 100-8x³-18x⁵
-18x⁵+20x³-64x+100
2(-9x⁵+10x³-32x+50)
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