Factorize Quadratic Equations

Answer explanation

We are looking for two numbers that multiply together to give 20 and add together to give 12. 
 $10\times2=20\$  and  $10\text{ +2=12}$  

Answer explanation

We are looking for factors of 50 that add up to -15.
These numbers are -5 and -10.
 $-5\times-10=50$  and  $-5+-10=-15$  

Answer explanation

We are looking for factors of -30 that add up to 1. 
They are: 6 and -5
 $6\times-5=-30$  and  $6+-5=1$  

Answer explanation

We are looking for numbers that multiply to give -60 and add to give -7.
 $-12\times5=-60$  and  $-12+5=-7$  

Answer explanation

We are searching for factors of 81 that add up to 18. These numbers are 9 and 9

 $9\times9=81$  and  $9+9=18$  

Answer explanation

We are looking for numbers that multiply to give us 25 and add to give us -10. These numbers are: -5 and -5 because:

 $-5\times-5=25\$  and  $-5+-5=-10$  

Factorize x² + 6x + 9

• (x + 2)(x + 4)

• (x + 1)(x + 9)

• (x - 3)(x - 3)

• (x + 3)(x + 3)