YASH CLASSES
2. POLYNOMIALS [ X ]
Apply
division algorithm to find quotient
and
remainder by
f(x) by g (x)
1. f(x)
= x3 - 6x2
+ 11x - 6 , g
(x) = x + 2
2. f(x)
= x3 - 3x2
+ 5x - 3 , g
(x) = x2 - 2
3. f(x)
= x4 - 3x2
+ 4x + 5 , g (x) = x2
+ 1 – x
4. f(x)
= x4 - 5x + 6
, g (x) = 2 - x2
5. f(x)
= 9x4 - 4x2
+ 4 ,
g (x) = 3x2 + x - 1
6. f(x)
= 30x 4 - 82x 2 - 12x + 48 + 11x 3 ,
g (x) =
3x2 - 4 + 2x
7. f(x)
= 2x 4 + 3x2
- 9x - 12 + 3x3 ,
g (x) = x3 – 3
8. f(x)
= x 5 + x2 + 3x + 1 - 4x3
,
g (x) = x3 + 1 – 3x
9. f(x) = 15x3 -20x2 +
13x -12 , g (x) = x2 + 2 – 2x
10. If polynomials 2x 4 + 7x 3 - 19x 2
+ 30 - 14x
zeros are ± √2 find others zeros .
11. If polynomials 2x 3 + x 2 - 3 - 6x
zeros are ± √3 find others zeros .
12. If polynomials x 4 + x 3 - 34x 2
+ 120 - 4x
zeros are ± 2 find others zeros .
13. If polynomials 2x 4
+ 7x 3 - 19x 2 + 30 - 14x
zeros are ± √3 find others zeros .
14. If polynomials x 3 + 3x 2 -6 -
2x
zeros are ± √2 find others zeros .
15. If polynomials x 3 + x 2 - 5 - 5x
zeros are ± √5 find others zeros .
16. If polynomials 3x 4 + 6x 3 - 2x 2
-5 - 10x
zeros are ± [√5/√3] find others zeros .
17. If polynomials 2x 4 - 2x 3 - 7x 2
+ 6 + 3x
zeros are ± [√3/√2] find others zeros .
18. If polynomials 2x 4 + x 3 - 14x 2 -6 - 19x
zeros are -2 , -1
find others zeros .