Divide the first polynomial by the second polynomial in
each of the following, Also write the quotient and reminder
1. x²5x + 6 by x +3
2. x³-1byx-1
3. y⁴ + y² by y² - 2
4. 2x³ - 5x²+ 8x - 5 by 2x² 3x + 5
5. x2 + 12x + 35 by x + 7
6. 6x² - 31x + 47 by 2x - 5
7. 10x⁴+ 17x³ - 62x² + 30x - 3 by 2x² + 7x-1
8. x⁵+ 3x⁴ - 5x³+ 14x² + 30x - 16 by x³-x² + x+8.
9. 2x⁴+ x³ - 27x² - 36x + 155 by 2x - 5.
10. 5x³ - 12x² + 36x + 155 by x² – 3x + 4.
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Answer:
x²+5x+6
x+3
= x²+2x+3x+6
x+3
= x(x+2)+3(x+2)
x+3
= (x+3)(x+2)
x+3
= (x+2)
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