Question

1. Write the coefficient of 2 in 2 − 3 2 + 3 .
2. Write the degree of polynomials 2 + 4 3 + 7.
3. Give one example of a binomial of degree 5.
4. Write the degree of polynomial 0 2
5. Find the value of k if ( − 3) is a factor of 4 3 + 3 2 − 4 + 2.
6. Factorise: 8 − 24 2 2 .
7. Factorise: + + + .
8. Factorise :81 − 625 2
9. Using factor theorem, show that 2 + 1 is a factor of 2 3 + 3 2 − 11 − 6
10. Factorise : 25 2 + 10 + 2 − 2
11. Factorise : 2 + 2 + 1 2 − 2
12. Factorise : 625 4 − 4
13. Factorise : 8 − 1
14. Factorise : 1 + 2 + 2 − 2
15. Factorise : 2√2 3 + 3√3 3 + √5 (5 − 3√6 ab)
16. Factorise : 3 + 6 2 + 11 + 6
17. Factorise: ( 2 − 2) 2 − 2( 2 − 2) − 3
18. Find the value of 103 × 107 19. Find the product of ( − 1 ) ( + 1 ) ( 2 + 1 2 ) ( 4 + 1 4 )
20. Find the value of x + 1 if 2 + 1 2 = 27
21. Find the value of a, if + is a factor of + + + + + + +
22. Factorise : x3+ 13x2 + 32x + 20
23. Find the value of a and b so that the polynomial − − + has (y - 1) and (y + 3) as factors.
24. Determine the value of of p for which the polynomial 2 4 − 3 + 4 2 + 2 + 1 is divisible by 1 − 2.
25. If 2 + 3 = 8 and = 4 then find the value of 4 2 + 9 2
26. Find p and q if ( + 1) and ( + 2) are factors of 3 + 3 2 − 2 + ​

Answer 1

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