The product of two consecutive odd integers that are positive is 323.
a. write an equation to find the integers.
b. find the two integers.

See below in bold.

Step-by-step explanation:

Let the 2 integers be  n and n + 2 ( as consecutive odd numbers ascend by 2).

(a).  So we have the equation:

n(n + 2) = 323.

(b).   n^2 + 2n = 323

n^2 + 2n - 323 = 0

(n  + 19 )( n - 17 )

n = `17   ( we ignore the negative).

But 17 * 19 = 323 so

the 2 numbers are 17 and 19.

Hello from MrBillDoesMath!

(x + 6) (2 x - 9)

Discussion:

6 and -9 are the factors of the constant term as 6 * (-9) = -54

The x term is given by  -9x + 12x  = 3x   (multiply the factorization out)

Regards,  

MrB