1st Year Mathematics Chapter 5 Test5. Polynomials

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

1. What should be added to $3pq + 5p^2q^2 + p^3$ to get $p^3 + 2p^2q^2 + 4pq$?
   1. $$p^{2}q^{2} - pq$$
   2. $$2p^{2}q^{2} + pq$$
   3. $$-3p^{2}q^{2} + pq$$
   4. $$5p^{2}q^{2} + pq$$
2. $ax + 2xy + 3$ is a ______ polynomial :
   1. Linear
   2. Cubic
   3. Constant
   4. Quadratic
3. If 3x³ - 2x² + 5 is divided by x + 1, then x + 1 will be its.
   1. divisor as well as factor
   2. dividend
   3. quotient
   4. remainder
4. Use of letters to represent an unknown quantity was introduced by :
   1. Muhammad Bin Musa
   2. Rene Descartes
   3. Euler
   4. James Sylvester
5. $2x + 7$ is a factor of $2x^3 + 5x^2 - 11x - 14$, then factorize form of the expression will be:
   1. $$(2x-7)(x-2)(x+1)$$
   2. $$(2x+ 7)(x-2)(x+1)$$
   3. $$(2x-7)(x-2)(x-1)$$
   4. None of these
6. The volume of a cuboid is $105{x}^7$ with length and height as $5x$ and respectively , then breadth is :
   1. $3x$
   2. $3x^2$
   3. $21x$
   4. $21x^2$
7. If 2 , 5 , - 2 are zero of a polynomial then polynomial is :
   1. $$x^3 - 5x - 6x$$
   2. $$x^3 - 5x^2 + 2x - 2$$
   3. $$x^3 - 5x^2 - 4x + 20$$
   4. None of these
8. What should be subtracted to the polynomial $x^{2} - 16x + 30$, so that $x - 15$ is the factor of the resulting polynomial?
   1. 30
   2. -15
   3. 15
   4. 16
9. Algebraic expressions are of :
   1. One kind
   2. Two kinds
   3. Three kinds
   4. Four kinds
10. If $3x^{5} - 5x^{3} + 2nx + 3, \forall n \in \mathbb{Z}$ is divided by $x - 1$, then remainder is:
    1. Odd number
    2. Even number
    3. Rational number
    4. Real number