Question

Find the sum: (3x3 + 2x2 + 2x + 1) + (x3 - x2 - x + 2).

A. 4x3 + x2 + x + 3
B. 2x3 + 3x2 + 2x + 3
C. 2x3 + x2 - x + 3
D. 4x3 + x2 - x + 3

Answer 1

The correct answer is: [A]: " 4x³ + x² + x + 3 " .
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Step-by-step explanation:
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(3x³ + 2x² + 2x + 1) + (x³ − x² − x + 2) =

↔ (x³ − x² − x + 2) + (3x³ + 2x² + 2x + 1) =

(x³ − x² − x + 2) + (3x³ + 2x² + 2x + 1) =

x³ − x² − x + 2 + 3x³ + 2x² + 2x + 1 ;

Combine the "like terms" ;

x³ + 3x³ = + 4x³ ;

−x² + 2x² = + x² ;

− x + 2x = + x ;

+ 2 + 1 = + 3 ;
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And rewrite:
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→ " 4x³ + x² + x + 3 " ;

→ which is: "Answer choice: [A]: " 4x³ + x² + x + 3 " .
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