Multiplication of a Polynomial and Monomial

Q. The product of a monomial and a binomial is a .

1. Monomial
2. Trinomial
3. Binomial
4. Constant

Q.

Find the value of $a^3-b^3-3a^{2}b+3a{b}^2$ , when a = 4 and b = 3.

1. None of these

2. 1

3. 12

4. 21

Q.

If the length and breadth of a rectangle are $(x^2-x+2)$ cm and $(x^2+x-2)$ cm respectively, find the area of the rectangle.

1. $x^4-x^3-x^2-4x$

2. $x^4-x^2+4x-4$

3. $x^4-5x^3-x^2$

4. $x^4-x^3-4x^2+4$

Q.

Find the value of $(x+y)(x-y)(x^2+y^2$) when $x=3$ and $y=2$

1. x⁴ - y⁴

2. ( - )

3. ( + )

4. x³ + y³

Q. Find the sum of divisors of $18$

Q.

The product of $(7x-4x^2+2x^3-5)$ and $(3x-2)$ is

1. 

2. 

3. 

4. 

Q. The length of a rectangular field is two more than thrice of the breadth. What is its area if the breadth is $x$?

Q.

Simplify the expression: $2x^2+3y^2-5xy+5x^2-y^2+6xy-3x^2$

Q.

Find the product of $(a+b)$ and $7a^2{b}^2$.

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

Q.

The product of a monomial and a binomial is always a ________.

1. monomial

2. trinomial

3. binomial

4. constant

Q.

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

1. 7ab + 7

2. 7

3. 7 + 7

4. 7b + 7a

Q.

$(a+b+c)(a+b-c)$ = ___.

1. a²+2ab-c²

2. a²+2ab+b²

3. a²+4ab+b²-c²

4. a²+2ab+b²-c²

Q.

Multiplying $x$ with the sum of $11x^2-8x+4$ and $6x^2+7x-10$ gives:

1. 

2. 

3. 

4. 

Q.

Expand: ${[\sqrt{3x}-\frac{\sqrt{2}}{5}y]}^2$

1. $3x^2-\frac{2}{5}\sqrt{6x}+\frac{2}{25}$

2. $3x-\frac{2\sqrt{6x}y}{5}+\frac{2}{25}{y}^2$

3. $3x^2-\sqrt{6x}+\frac{4}{25}$

4. $x^2-\frac{2}{5}\sqrt{6x}+\frac{4}{25}$

Q. Show that $\frac{3}{7}$ lies between $\frac{2}{5}$ and $\frac{5}{7}$

Q. If $\frac{-5}{14}-\frac{-2}{7}=\frac{k}{14}$ then find the value of $k$

Q.

Find the product of $(x+y-z+p)$ and $xyzp$.

1. $x^{2}yzp+x{y}^{2}zp+xy{z}^{2}p+xyz{p}^2$

2. $2xyzp-xy{z}^{2}p+xyz{p}^2$

3. $2xyzp+xy{z}^{2}p+xyz{p}^2$

4. $x^{2}yzp+x{y}^{2}zp-xy{z}^{2}p+xyz{p}^2$

Q.

$(a+b+c)(a-b-c)$ = ______

1. $a^2+b^2-c^2-ca$

2. $a^2+b^2+c^2-bc$

3. $a^2-b^2+c^2-2ca$

4. $a^2-b^2-c^2-2bc$

Q.

Simplify: (3x-2y)(3x+4y)-(3x+2y)(3x-2y)

1. 

2. 

3. 

4.