(1) Basic Operations: Basic Operations, Polynomials, Factorization, Remainder Theorem & Factorization Theorem ; H.C.F. & L.C.M. of polynomials ; Rational Expressions, Surds & indices.

(2) Linear Equations : Simultaneous linear equation in two variables, analytical and graphical solutions. Simultaneous linear in equations. Practical problems on linear equations.

(3) Quadratic Equation : Solution of quadratic equations, Relation between roots and coefficients (only real roots to be considered). Practical problem on quadratic equations.

(4) Set Theory : Set language and set notation.
Union, Intersection & Complementations of sets and their properties.

If x^{3} + 6x^{2 }+ 4x + k is exactly divisible by (x + 2), then the value of k is :

** Option :**

**A.**- 6

**B.**- 7

**C.**- 8

**D.**- 10

**C**

Let f(x) = x^{3} - 6x^{2} + 11x - 6.

Then, which one of the folllowing is not a factor of f(x) ?

** Option :**

**A.**x - 1

**B.**x - 2

**C.**x + 3

**D.**x - 3

**C**

The Polynomial (x^{4} - 5x^{3 }+ 5x^{2} - 10x + 24) has a factor as :

** Option :**

**A.**x + 4

**B.**x - 2

**C.**x + 2

**D.**None

**B**

(x^{29} - x^{25} + x^{13} - 1) is divisible by:

** Option :**

**A.**both (x - 1) & (x + 1)

**B.**(x - 1) but not by (x + 1)

**C.**(x + 1) but not by (x - 1)

**D.**neither (x - 1) nor (x + 1)

**B**

Value of k foe which (x - 1) is a factor of (x^{3} - k) is :

** Option :**

**A.**-1

**B.**1

**C.**8

**D.**-8

**B**