Question
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Tutor-Verified Answer
Answer
Solution
To add the polynomials
and
using algebra tiles, follow these steps:
-
Identify Like Terms:
- Quadratic terms (
): -
and
-
- Linear terms (
): -
and
-
- Constant term:
-
- Quadratic terms (
-
Combine Like Terms:
- Quadratic Terms:
- Linear Terms:
- Constant Term:
- Quadratic Terms:
-
Write the Final Expression:
Final Answer:
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Extra Insights
To find
using algebra tiles, you would represent the terms with different tiles: negative
tiles for the
terms, negative
tiles for the
terms, and small square tiles for the constant. Start by laying out 7 negative
tiles and 2 negative
tiles, then place 5 negative
tiles and 9 negative
tiles, and finally add 7 positive tiles representing the constant. Combine like terms: The total becomes -9
, -14
, and +7.
After simplifying, you’ll have the expression:
. Just imagine! It’s like sorting out different colored Lego blocks: negatives on one side and positives on the other until they fit together perfectly!