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Quadratic Formula Practice 1
Contributed by: La Miranda
(Original author: Tsygan)

             Some trinomials like x2 + 8x + 5 = 0

 do not factor smoothly (the answers are not integers).

When this happens, use the QUADRATIC FORMULA:
The coefficient (the number in front) of x2 is "a"
The coefficient (the number in front) of x is "b"
QUADRATIC FORMULA:
The constant (a number by itself) is "c"

a

x2 +   x +    = 0

b

c

a = 1     b = 8     c = 5

1

The coefficient (the number in front) of x2 is "a"
The coefficient (the number in front) of x is "b"
x2 +  x +    = 0
The constant (a number by itself) is "c"

a

x2 +  x +    = 0

8

b

5

c

Plug these values

into the

quadratic formula

Quadratic Formula:
a =          b =         c =

x2 + 15x + 26 = 0

Fill in the blanks

a =

b =

c =

Plug the a,b, and c values into the quadratic formula:
-

1

15

26

x2 + 15x + 26 = 0

2

Quadratic

Formula:

*
2
-
4
*
*
Quadratic Formula:
a =          b =         c =

4x2 - 15x + 2 = 0

Fill in the blanks

a =

b =

c =

Plug the a,b, and c values into the quadratic formula:
-

4

-15

2

4x2 - 15x + 2 = 0

2

Quadratic

Formula:

*
2
-
4
*
*
Quadratic Formula:
a =          b =         c =

x2 + 2 = 0

Fill in the blanks

a =

b =

c =

Plug the a,b, and c values into the quadratic formula:
-

1

0

2

x2 + 2 = 0

2

Quadratic

Formula:

*
2
-
4
*
*
Quadratic Formula:
a =          b =         c =

7x- 2x  = 0

Fill in the blanks

a =

b =

c =

Plug the a,b, and c values into the quadratic formula:
-

7

-2

0

7x- 2x  = 0

2

Quadratic

Formula:

*
2
-
4
*
*
a = 1     b = 8     c = 5

1

The coefficient (the number in front) of x2 is "a"
The                      (a number by itself) is "c"
The                      (the number in front) of xis "b"
x2 +  x +    = 0
coefficient
?
constant
?

a

x2 +  x +    = 0

8

b

5

c

quadratic
?

Plug these values

into the

               formula

a =

b =

c =

Plug the a, b and c values into the quadratic formula:
-

1

8

5

1x2 +8x + 5 = 0

Quadratic

Formula:

2
*
2
-
4
*
*
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