Question

combine all like terms to simplify the following expression.

(14x + 3x^3 - 9 + x)

a.) (3x^3 + 14x - 9x)

b.) (17x^3 - 9x)

c.) (18x - 9)

d.) (3x^3 + 15x - 9)

Explanation:

Identify like terms in the expression

$$ 14x + 3x^3 - 9 + x $$

The terms containing the variable \(x\) to the first power are \(14x\) and \(x\).

Combine the identified like terms

$$ 14x + x = 15x $$

Reorder the simplified expression in standard form

$$ 3x^3 + 15x - 9 $$

Answer:

• a.) \(3x^3 + 14x - 9x\)
• b.) \(17x^3 - 9x\)
• c.) \(18x - 9\)
• d.) \(3x^3 + 15x - 9\) (Correct answer)