Factor Monic Quadratics

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  $-5+-5=-10$  

The rectangle shown has an area equal to: katex latex="x^2+5x-66" Write down an expression for the LONGER side of the rectangle.

Answer explanation

When we factorize  $x^2+5x-11$  we get: 
 $\left(x+11\right)\left(x-6\right)$ . This means that the length of the rectangle is  $\left(x+11\right)$  and the width is  $\left(x-6\right)$  . The longer side is  $x+11$  

Solve by factoring: x² - 9x + 20 = 0

• x = -4 and x = -5

• x = 20 and x = -9

• x = 4 and x = 5

• x = -4 and x = 5

Factor: 49x² - 100

• (49x + 100)(x - 1)

• (7x - 10)(7x + 10)

• (49x - 10)(x + 10)

• (7x -10)(7x - 10)

Factor: 4x² - 20x + 25

• (4x - 25) (x -1)

• (2x + 5) (2x - 5)

• (2x - 5)²

• (4x - 5) (x - 5)