Factorising Expressions of the Form (x+a)(x+b)

Q. $x^2+18x+77$ = .

1. $(x-7)(x-11)$
2. $(x-7)(x+11)$
3. $(x+7)(x-11)$
4. $(x+7)(x+11)$

Q. $x^2+5x+6=$

1. $(x+3)(x+5)$
2. $(x+5{)}^2$
3. $(x+3)(x+2)$

Q. $\text{If}{x}^2-4x-12=(x+m)(x+n)$,
then find the value of $(m+n).$

1. $2$
2. $-2$
3. $4$
4. $-4$

Q. Factorising $x^2+16x+63$ we get, $(x+7)$ and .

1. $(x-7)(x+9)$
2. $(x+7)(x-9)$
3. $(x+9)$
4. $(x-9)$

Q.

Which of the following is/are the irreducible factor(s) of $3m^2+9m+6?$

1. 3

2. $m+2$

3. $m+3$

4. $m+1$

Q. $\text{Factorise the expression}48+8m-m^2.$

1. $(4+m)(12-m)$
2. $(4-m)(12-m)$
3. $(4+m)(12+m)$
4. $(6+m)(8-m)$

Q. Factorise the expression:
$x^2+5x-6$

1. $(x+6)(x-1)$
2. $(x+6)(x+1)$
3. $(x+3)(x-2)$
4. $(x+3)(x+2)$

Q. Factorise:
$2m^2+20m+50.$

1. $(m+5)(m+5)$
2. $2(m+5)(m+5)$
3. $2(m+5)(m-5)$
4. $2(m-5)(m-5)$