SOLUTION: Task 2: Operations on Integers as Polynomials Now that you have explored the similarities between integer multiplication and polynomial multiplication, you will examine the simila

Question 1156796: Task 2: Operations on Integers as Polynomials
Now that you have explored the similarities between integer multiplication and polynomial multiplication, you will examine the similarities between integer long division and polynomial long division.
When multiplying the two integers 21 and 12, the following process is used:

21
× 12

Set up the problem.
21
× 12
42

Multiply the 2 of the 12 by 21.
21
× 12
42
210

Place a 0 below the 42, then multiply the 1 of the 12 by 21.
21
× 12
42
+ 210
252

Add 42 and 210 to get the answer: 252.
Expanding each integer in the expression 21 × 12, the result is [(2 × 101) + (1 × 100)] × [(1 × 101) + (2 × 100)]. Replace the 10s with x’s and then multiply this expression using FOIL. Compare it with the normal integer multiplication method used above: How are they similar? Show your work.
- i do not understand what they mean to replace the 10s with x's.

Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
..........................................................
....., Expanding each integer in the expression 21 × 12, the result is [(2 × 101) + (1 × 100)] × [(1 × 101) + (2 × 100)]. Replace the 10s with x’s and then multiply this expression using FOIL. Compare it with the normal integer multiplication method used above: How are they similar? Show your work.
- i do not understand what they mean to replace the 10s with x's.
.........................................................

Use x in place of 10 to show "place value".

Replacing with x,

and then you can do the intended FOIL multiplication.
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