SOLUTION: The sum a number and 2 is multiplied by the number and then 3 is subtracted from the result. Express the first result as a polynomial.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The sum a number and 2 is multiplied by the number and then 3 is subtracted from the result. Express the first result as a polynomial.      Log On


   



Question 655558: The sum a number and 2 is multiplied by the number and then 3 is subtracted from the result. Express the first result as a polynomial.
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
A number: x
The sum of a number and 2: x+2
The sum of a number and 2 multiplied by the number: (x+2)*x <== Note the parentheses!
3 subtracted from the sum of a number and 2 multiplied by the number: (x+2)*x-3

Now just simplify.
(x+2)*x-3
Using the Distributive Property to multiply:
x%5E2%2B2x-3
None of the remaining tgerms are like terms so we are finished simplifying.