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2014-07-02T01:09:28+08:00

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1) x² + 7x = 0
    x(x+7) = 0
   x=0  ;  x=-7

2) 6s² + 18s = 0
      6s(s+3) = 0
   s=0  ;  s=-3

3) t² + 8t + 16 = 0
       (t+4)(t+4) = 0
            t=4

4) x² -10x +25 = 0
        (x-5)(x-5) = 0
            x=5

5) h² +6h =16
   h² +6h  -16 = 0
  (h+8)(h-2) = 0
  h=-8  ;  h=2

6) x² -5x -14 = 0
   (x-7)(x+2) = 0
x=7  ;  x=-2

7) 11r +15 = -2r²
 2r² +11r +15 = 0
 (2r+5)(r+3)= 0
r=-5/2  ;  r=3

8) x² -25 = 0
  (x-5)(x+5)=0
  x=5  ;  x=-5

9) 81 -  4x² = 0
  (9-2x)(9+2x)=0
 x=9/2  ;  x=-9/2

10) 4s² +9 = 12s
     4s² -12s +9=0
     (2s-3)(2s-3)=0
          s=3/2

d) by equating all the factors to 0
e) Zero product property. Since each of the polynomials may be equated to 0, then at least of their factors is equal to 0.
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