Quadratic Trinomial(ax²+bx+c)

Q. $\text{Factorise the given expression:}ab(x^2+y^2)+xy(a^2+b^2)$

Q. What is the expansion of $(m-n{)}^2$ ?

1. $m^2-2mn+n^2$
2. $m^3-2mn+n^2$
3. $m^2-4mn+n^2$
4. $m^2-2mn-n^2$

Q. Factorize each of the following expressions:

$12m^2-27$

Q. Factorise:
$a^8-2a^4{b}^4+b^8$

1. $\left[\right(a+b^2\left)\right(a+b\left)\right(a-b){]}^2$
2. $\left[\right(a^2-b^2\left)\right(a+b\left)\right(a-b){]}^2$
3. $\left[\right(a^2+b^2\left)\right(a+b\left)\right(a-b){]}^2$
4. $\left[\right(a^2+b\left)\right(a+b\left)\right(a-b){]}^2$

Q. 12 can be expressed as:

1. $2\times 2\times 2$
2. $3\times 2\times 2$
3. $4\times 2\times 2$
4. $3\times 3\times 2$

Q.

Write down the numerical as well as literal coefficient of each of the following monomials :

$-7x$

Q. Find the sum and the product for the given expression : $y^2-2y-15$.

1. -2, 15
2. 2, -15
3. -2, -15
4. 2, 15

Q.

If 3 is a factor of $14pq$, then 3 is also a factor of $28p^{2}q$.

1. True

2. False

Q. State whether True or False.

1. True
2. False

Q.

The expansion of the algebraic identity ( x + a ) ( x + b ) is:

1. 

2. 

3. 

4. 

Q. State whether True or False.

1. True
2. False

Q.

Spot the mistake:
$(3y+8{)}^2=9y^2+24y+64$

1. 24y should be replaced by 48y

2. 64 should be replaced by -64

3. There is no mistake in the given equation.

4. $9y^2$ should be replaced by $3y^2$

Q.

Substituting $x=-3$ in $\left(x^2\right)-5x$ gives

___

Q. Which of the following is the factorisation of $8x^3+y^3$?

1. $(2x-y)(4x^2+2xy+y^2)$
2. $(2x+y)(4x^2-2xy+y^2)$
3. $(2x-y)(4x^2-2xy+y^2)$
4. $(2x-y)(4x^2-2xy-y^2)$

Q.

If AB is divisible by 5 but not divisible by 2 and BA is divisible 3. Then which of the following is possible value of A and B?

1. A=4, B=0

2. A=4, B=5

3. A=7, B=5

4. A=5, B=2

Q.

Factorise the expression:
$a{x}^2+b{y}^2+bxy+axy$

1. $(x+y)(ax+by)$

2. $(x-y)(ax-by)$

3. $(x+y)(ax-by)$

4. $(ax+by)(ax+by)$

Q. $\frac{854\times 854\times 854-276\times 276\times 276}{854\times 854+854\times 276+276\times 276}=$?

1. $1130$
2. $565$
3. $578$
4. $1156$
5. None of these

Q.

23 is a factor of 23.

1. True

2. False

Q.

Find the common factor between
$2t,3t^2\text{and}4.$

1. 3

2. 2

3. 1

4. t

Q.

The value of the expression $(2x{)}^2+5x$ for $x=3$ is 51.

1. False

2. True

Q. If $2x^2+y^2-3xy-3x+3y=0,$ then find the value of $2x-y$. (Given: $x\ne y)$

1. 2
2. 3
3. 1
4. 9

Q. Simplify the following:
$(7a/2-5b/2{)}^2-5a/2-7b/2{)}^2$

Q.

Using the literal $x$and its powers, write one example of monomial

Q.

'xy' is a factor of '5xyz'.

1. False

2. True

Q. An expression of the form ax^2 + bx + c is a ___________.

1. quadratic trinomial
2. quadratic monomial
3. rational algebraic expression
4. quadratic binomial

Q.

Which of the following cannot be a factor of any positive integer?

1. 1

2. The number itself.

3. 0

4. 2