Factorized Quadratic Expression

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 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  $-5+-5=-10$  

Tags

CCSS.HSA.APR.C.4

Factorise the expression:

x² + x - 6

• (x + 3)(x - 2)

• (x + 2)(x - 3)

• (x + 6)(x - 1)

• (x + 1)(x - 6)

Factorize the following expression:

4x² + 6x

Factorize:

2x² + 5x -7

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 15 which add up to -8. These numbers are: -3 and -5.
 $-3\times-5=15$  and  $-3+-5=-8$  

Answer explanation

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

 $9\times9=81$  and  $9+9=18$  

Tags

CCSS.HSA.APR.C.4