Multiplication of a Polynomial by a Polynomial

Q. Krishna deposited $‘x^{\prime }$ number of $‘2000$ notes, $‘y^{\prime }$ number of ${}^{\prime }500$ notes, $‘z^{\prime }$ number of $‘100$ notes in a bank and Arjun deposited $‘3x{y}^{\prime }$ times the amount of what Krishna had deposited. How much did Arjun deposit in the bank?

1. $₹(6000x^{2}y+1500x{y}^2+3000xyz)$
2. $₹(6000x^{2}y+1500x{y}^2+300xyz)$
3. $₹(3000x^{2}y+100x{y}^2+3000xyz)$
4. $₹(600x^{2}y+150x{y}^2+3000xyz)$

Q.

A trinomial has exactly three terms.

1. True
2. False

Q. The product of $(a+b)$ and 7$a^2$$b^2$ is .

1. 7$a^2{b}^2$
2. $7a^3{b}^2+7a^2{b}^3$
3. $7a^{2}b+7a{b}^2$
4. $7ab+7a^2{b}^2$

Q. If the adjacent sides of a rectangle are $(x^2-x+2)$ units and $(x^2+x-2)$ units long, find the area of the rectangle.

1. $(x^4-5x^3-x^2)$ square units
2. $(x^4-x^3-4x^2+4)$ square units
3. $(x^4-x^3-x^2-4x)$ square units
4. $(x^4-x^2+4x-4)$ square units

Q. The product of a binomial by a binomial is always a trinomial.

1. True
2. False

Q. Multiply $(2x^2-6x+10)$ by $(x+y^2)$ .

1. $2x^3+12x^2{y}^2-6x^2-x{y}^2+10y^2+10x$
2. $2x^3+x^2{y}^2-6x^2-6x{y}^2+10y^2$
3. $2x^3+2x^2{y}^2-6x^2+16x{y}^2+10y^2+10x$
4. $2x^3+2x^2{y}^2-6x^2-6x{y}^2+10y^2+10x$

Q.

What is the product of $(a+b)$ and 7$a^2$$b^2$?

1. 7$a^2$$b^2$

2. 7$a^3$$b^2$ + 7$a^2$$b^3$

3. 7ab + 7$a^2$$b^2$

4. 7$a^2$b + 7a$b^2$

Q. A man invests Rs. $5,600$ at $14$% per annum compound interest for $2$ years. Calculate the interest for the second year, correct to the nearest rupee.

Q. Krishna deposited $‘x^{\prime }$ number of $‘2000$ notes, $‘y^{\prime }$ number of ${}^{\prime }500$ notes, $‘z^{\prime }$ number of $‘100$ notes in a bank and Arjun deposited $‘3x{y}^{\prime }$ times the amount of what Krishna had deposited. How much did Arjun deposit in the bank?

1. $₹(6000x^{2}y+1500x{y}^2+300xyz)$
2. $₹(3000x^{2}y+100x{y}^2+3000xyz)$
3. $₹(600x^{2}y+150x{y}^2+3000xyz)$
4. $₹(6000x^{2}y+1500x{y}^2+3000xyz)$

Q. The number of terms that you get on simplifying (3x + 5)(x - 4) is

1. 2
2. 3
3. 4
4. 5

Q.

Simplify $(3x^2+5y^2)(4xy-5y)$.

1. $(6x^{3}y-15xy+20x{y}^3-5y^3)$

2. $(12x^{3}y-5x^{2}y+10x{y}^3+25y^3)$

3. $(12x^{3}y-15x^{2}y+20x{y}^3-25y^3)$
4. $(6x^{3}y-15x^{2}y+10x{y}^3-5y^3)$

Q.

Find the product of $(t+s^2)$ and $(t^2-s)$.

1. $t^3+s^2{t}^2-st-s^3$

2. $t^3+s^2{t}^2-st-s^2$

3. $t^3+t^2-st-s^3$

4. $t^3+s^2{t}^2-2st-s^3$

Q.

Multiply $(7x-4x^2+2x^3-5)$ with $(3x-2)$.

1. $6x^4-16x^3+29x^2-x+1$

2. $6x^4-16x^3+27x^2-x+10$

3. $5x^4-16x^3+29x^2-x+10$

4. $6x^4-16x^3+29x^2-29x+10$

Q. The product of $(7x-4y)$ and $(3x-7y)$ is .

1. $21x^2+28y^2+61xy$
2. $21x^2-28y^2-61xy$
3. $21x^2+28y^2-61xy$
4. $21x^2+28y^2-37xy$

Q.

Classify into monomials, binomials or trinomials:

$a+x+3+2$