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2. what is the result of adding $4x^{2}+2x - 5$ and $3x^{2}-x + 7$? a. …

Question

  1. what is the result of adding $4x^{2}+2x - 5$ and $3x^{2}-x + 7$?

a. $7x^{2}+3x + 2$
b. $7x^{2}+x - 12$
c. $7x^{2}+3x + 2$
d. $7x^{2}+x + 2$

Explanation:

Step1: Write sum expression

$(4x^3 + 2x - 5) + (3x^3 - x + 7)$

Step2: Group like terms

$(4x^3 + 3x^3) + (2x - x) + (-5 + 7)$

Step3: Combine like terms

$7x^3 + x + 2$

Answer:

d. $7x^3 + x + 2$