Factorisation of Trinomial

Q.

How do you factor the expression $x^2+2x-3$?

Q.

Factorise: $2x^2+3x+1=0$

Q.

Factorise: $3x^2+11x-4=0$

Q.

Factorise $4x^2{y}^6+16x^3{y}^2+24x^4{y}^3$

1. $4x^2{y}^2(y^4+4x+6x^{2}y)$

2. $4x^2(y^3+4x+6x^{2}y)$

3. $4xy(y^3+4x+6x^{2}y)$

4. $16x^2{y}^2(4y^3+16x+6x^{2}y)$

Q. Factorize the following:
$72x^6{y}^7-96x^7{y}^6$

Q.

Factorise $8-2(a-b{)}^2$

1. $\left(\right(2-a+b\left)\right(2+a-b\left)\right)$

2. $2\left(\right(2-a+b\left)\right(2+a-b\left)\right)$

3. $2\left(\right(2-a-b\left)\right(2+a-b\left)\right)$

4. $\left(\right(2-a-b\left)\right(a-b\left)\right)$

Q.

Factorize:
$a^2+6a+9-4b^2$

1. $(a+2b+3)(a-2b+3)$

2. $(a+3+2b)(a+3-2b)$

3. $(a-3+2b)(a+3-2b)$

4. $(a+3+2b)(a-3-2b)$

Q.

Factor the expression:
$r^2+19rs+90s^2$

1. $\left(r+3s\right)\left(r+30s\right)$

2. $\left(r+3\right)\left(r+30s^2\right)$

3. $\left(r+10s\right)\left(r+9s\right)$

4. $\left(r+10\right)\left(r+9s^2\right)$

Q.

The given trinomial $4x^2+12xy+9y^2$

is not a perfect square trinomial.

1. True

2. False

Q.

The factors of $(4x^3+12x^2+6x+18)$ is/are:

1. $2x^2+5$

2. $4x^2+6$

3. $(x+3)$

4. $\text{None of these}$

Q.

Square of a binomial is called as _____________

1. Perfect square trinomial

2. square terms

3. binomial

4. monomial

Q.

Factorising and dividing $a^2+7a+10$ by $(a+5)$ gives:

1. $2$

2. $a+2$

3. $1$

4. $a+1$

Q. Which of the following expressions have 2 terms?

1. x+y
2. x+x+z
3. 3x
4. 2x+3y+6y
5. x-3y+2z
6. x+x+x
7. y+3y+x
8. x+x+y+y

Q. Factorise:
$(y^3-3y^2+2y-6-xy+3x)$

Q.

$36-12xy+y^2$ is a perfect square trinomial

1. True

2. False

Q.

Factorise $32a^4-8a^2$

1. $8a(2a+1)(2a-1)$

2. $4a^2(2a+3)(2a-1)$

3. $8a^2(2a+1)\left(2a\right)$

4. $8a^2(2a+1)(2a-1)$