(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 x3 + 6x+ 4x + k is exactly divisible by (x + 2), then the value of k is :

A. - 6
B. - 7
C. - 8
D. - 10

Option C

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Let f(x) = x3 - 6x2 + 11x - 6.
Then, which one of the folllowing is not a factor of f(x) ?

A. x - 1
B. x - 2
C. x + 3
D. x - 3

Option C

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The Polynomial (x4 - 5x+ 5x2 - 10x + 24) has a factor as :

A. x + 4
B. x - 2
C. x + 2
D. None

Option B

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(x29 - x25 + x13 - 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)

Option B

View Explanation

Value of k foe which (x - 1) is a factor of (x3 - k) is :

A. -1
B. 1
C. 8
D. -8