Question

Chp:2 polynomial assignment
Answer the following:
1. Write the coefficients of x? in each of the following:
2. Give one example each of a binomial of degree 35, and of a monomial of degree 100.
3. Find the value of the polynomial 5x - 4x?+ 3 at
1) x = 0 (W) x=-1 (i) = 2
4. Divide the polynomial 3x4 - 4x3 – 3x - 1 by X - 1. (Long division)
5. Find the remainder when x4 + x3 - 2x2 + x + 1 is divided by x-1(Long division)
6. Find the value of k, if x - 1 is a factor of 4x3 + 3x2 - 4x + k.
7. Find the remainder when X-ax? + 6x-a is divided by x-a.
8. Use the Factor Theorem to determine whether g() is a factor of p(x) in each of the
following cases:
0 p(x) = 2x3 + x2 - 2x - 1, g(x) = x + 1
() p(x) = x3 + 3x2 + 3x + 1, g(x) = x + 2
(iii) p(x) = x3 - 4x2 + x + 6.9(x) = x - 3
9.Find the value of k, if x - 1 is a factor of p(x) in each of the following cases:
a) p(x) = x2+ x + K
b) p(x) = 122–3x + K
10.Evaluate 105 x 106 without multiplying directly.
11.Evaluate the following products without multiplying directly:
(1) 103 x 107 (i) 95 x 96 (iii) 104 x 96
12. Factorise the following using appropriate identities:
a)i) 9x2+ 6xy + y2 (11) 4ye- 4y + 1
13. Expand each of the following, using suitable identities:
(i) (x + 2y + 4z)2 (ii) (2x - y + 2)2 (iii) (-2x + 3y + 2z)2
14. Factorise:
(i) 4x2+9y2+ 1622 + 12xy - 24 yz - 16XZ
(ii) 2x2+ 8 + 8z :XY +
yz - 8xz
16. Write the following cubes in expanded form:
(1) (2x + 1)3(i) (2a - 3b) (i) -
(iv)
7. Evaluate the following using suitable identities:
i) (99) (ii) (102)' (iii) (998)3​

Answer 1

Answer:

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