Perfect Square Trinomials

Solve for a

100

ax² + 112x + 49

a = 64

200

ax² + 48x + 36

a = 16

300

ax² + 84x + 49

a = 36

400

ax² + 56x + 16

a = 49

500

ax² + 240x + 225

a = 64

Solve for b

100

x² + bx + 9

b = 6

200

x² + bx + 36

b = 12

300

9x² + bx + 25

b = 30

400

49x² - bx + 1

b = 14

500

16x² + bx + 81

b = 72

Solve for c

100

x² - 2x + c

c = 1

200

x² + 26x + c

c = 169

300

4x² - 40x + c

c = 100

400

9x² + 54x + c

c = 81

500

25x² - 120x + c

c = 144

Factor the Expression

100

x² - 10x + 25

(x - 5)² 

or 

(x - 5) (x - 5)

200

4x² + 12x + 9

(2x + 3)²

or

(2x + 3) (2x + 3)

300

9x² - 24x + 16

(3x - 4)²

or

(3x - 4) (3x - 4)

400

9x² + 30x + 25

(3x + 5)²

or

(3x + 5) (3x + 5)

500

16x² + 40x + 25

(4x + 5)²

or

(4x + 5) (4x + 5)

Random Question

100

What is the only even prime number?

2

200

What is the value of π (pi) to two decimal places?

3.14

300

What is the next prime number after 13?

17

400

What is the GCF of 36 and 60

12

500

What would the next number in the pattern be?

1, 1, 2, 3, 5, 8, ?

13