Simplify the expression (x^3-5x^2+7x-12)+(x-4) using long division

asked Oct 1, 2024 192k views

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Answer:

$$ x^3 - 5x^2 + 8x - 16 $.$

Step-by-step explanation:

Combine like terms within each parentheses:

$x^3 - 5x^2 + 7x - 12 + x - 4$

Combine like terms:

$x^3 - 5x^2 + 8x - 16$

So, indeed,
$(x^3 - 5x^2 + 7x - 12) + (x - 4)$ simplifies to
$$ x^3 - 5x^2 + 8x - 16 $.$

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