Answer:
The correct answer is: [D]: " − x² + 3x − 4 " .
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Step-by-step explanation:
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Start with the tile that has the largest exponent.
In this case, there is only one (1) tile with the exponent — " 2 " ;
which is: " − x² " ;
→ and "2" is the "largest exponent" — that corresponds to any variable among the titles given.
Then, look for the tiles with the "next largest exponent" (if any).
We find "x" ;
→ which has an "implied exponent" of " 1 " ; since: " x¹ = x " .
We see three (3) tiles — each with: " + x " values ;
so; we add them together since they are "like terms" with "positive signs" ;
as follows: + x + x + x = + 1x + 1x + 1x = " 3x " .
{Note: There is an "implied coefficient of " 1 " ; for "x" values;
since: "any value" ; multiplied by " 1 " ; results in that same values;
so: " x = x * 1 = 1 * x = 1x " ; ↔ " x = 1x " ;
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The remaining four (4) tiles are simply "negative" unit values;
with no "variables" ;
→ so; We treat them as "-1 " values ;
and "combine" them ;
→ and calculate ;
→ since these values are "integers" ; and as such; are "like terms" ;
→ as follows:
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− 1 − 1 − 1 − 1 =
(− 1 − 1) − 1 − 1 =
(−2 ) − 1 − 1 =
(−2 − 1 ) − 1 =
(−3) − 1 = " − 4 " .
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So, we combine all of our terms:
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→ to get:
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→ − x² + 3x − 4 ;
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→ which corresponds to:
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→ Answer choice: [D]: " − x² + 3x − 4 " .
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Hope this helps!
Best wishes in your academic endeavors —
and within the "Brainly" community!
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