Solve by factoring. 5. X2 +11x + 10 = 0 6. X2 + 4x -32 = 0 7. 2x2 -21x -36 = 0 8. 3x2 + x -14 = 0 9. x2 – 4x =21 10. 2x2 -11x =-12

Hey there :)

5. x² + 11x + 10 = 0
Sum = 11 
Product = 10
Factors = 1 and 10
( x + 1 )( x + 10 )
x = 1 , x = -10

6. x² + 4x - 32 = 0
Sum = 4
Product = -32
Factors = - 4 and 8
( x - 4 )( x + 8 )
x = 4 , x = -8

7. 2x² - 21x - 36 = 0
( 2x + 3 )( x - 12 )
x = [tex]- \frac{3}{2} [/tex] , x = 12

8. 3x² + x -14
( x - 2 )( 3x + 7 )
x = 2 , [tex]- \frac{7}{3} [/tex]

9. x² - 4x = 21
   x² - 4x - 21 = 0
Sum = - 4
Product = - 21
Factors = - 7  and 3
( x + 3 )( x - 7 )
x = - 3 , x = 7

10. 2x² - 11x = -12
     2x² - 11x + 12 = 0
( x - 4 )( 2x - 3)
x = 4 , x = [tex] \frac{3}{2} [/tex]