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# Quadratic equations and factoring

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21.Factor completely : 6g +19pg+15p

22.Determine whether the expression is a trinomial square:

b -4b + 4=

Is the expression a trinomial square yes or no?

23. Factor: s +16s+64

24.Factor completely: 3r -54r+243 =

25. Factor: a -81=
Type N if not factorable

26. Factor completely
w -p =

27.Factor:

4a-25a

28. Factor completely:

(0.01y -0.0036) =

29. Factor completely:1-c

30.Factor completely:

4v -1024=

31. Solve using the principle of zero products.

(V+25)(v+49) =0
Choose the correct:
a.5,7
b.-25,-49
c.-5,7
d.-5,-7

32.Solve using the principle of zero products. A(a+5)=0
The solution is a =

33. Solve using the principle of zero products.
(9c+7)(2c-6)=0

The solution is c=

34. Solve. t +8t+12=0

The solution is t=

35. Solve. s -6s=0

36.Use a graph to solve: x +3x-4= 0

The solution are :

37. A rectangle table is three times as long as it is wide. If the area is 75ft , find the length and the width of the table

Width: ft
Length : ft

38. There are n items in a league and the number of games played is given by the polynomial n -n= N. A woman's softball league has 12 teams. What is the total number of games to be played?

The total number of games is ?

39.The product of the page numbers on the two facing pages of a book is 156. Find the page numbers?

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#### Solution Preview

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21.Factor completely : 6g +19pg+15p

(3g + 5p)(2g+3p)

22.Determine whether the expression is a trinomial square:

b -4b + 4= (b-2)2

Is the expression a trinomial square yes or no?yes

23. Factor: s +16s+64 = (s+8)2

24.Factor completely: 3r -54r+243 = 3[r - 18r + 81] = 3(r - 9)2

25. Factor: a -81= a - 92 = (a-9)(a+9)
Type N if not ...

#### Solution Summary

I have answered eighteen questions on factoring of quadratic equations. I have also shown the step by step process of solving word problems related to quadratic equations.

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