Consecutive Integer Quadratic

The product of two consecutive negative even integers is 24.  Find the integers.

• 6, 8

• 6, 4

• -6, -8

• -6, -4

The product of two consecutive positive numbers is 132.  Find the numbers.

• 11, 12

• -11, -12

• -11, 12

• 11, -12

A table of values for a quadratic function is shown.

Type the equation of the quadratic function in Standard Form.

y = ax² + bx + c

Mathematical Equivalence

ON

Find two consecutive integers whose product is 420 using a quadratic equation.

• 20 and 21

• 42 and 10

• 70 and 60

• 30 and 31

Find two consecutive integers whose product is 240 using a quadratic equation.

• 15 and 16

• 12 and 20

• 24 and 10

• 60 and 61

The product of two consecutive integers is 30 and the sum of the same integers is 11. What are the two integers?

• 5 and 6

• 15 and 2

• 3 and 10

• 10 and 1

Find two consecutive integers whose product is 72 using a quadratic equation.

• 36 and 2

• 8 and 9

• 35 and 36

• 3 and 24

The product of three consecutive integers is 147. Which equation can be used to find the first integer? 

• 3x = 147

• x + 3 = 147 

• x ( x + 1 )( x + 2) = 147 

• x ⋅ x ⋅ x = 147