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product and quotient functions (m(x) = x^2 + 4x) ((mn)(x) =) ((x^2 + 4x…

Question

product and quotient functions

(m(x) = x^2 + 4x)

((mn)(x) =)

((x^2 + 4x)(x))

which is equal to:

(\bigcirc x^3 + 4x^2)
(\bigcirc 5x^2)
(\bigcirc 4x^4)

Explanation:

Identify the expression to simplify

$$ (x^2 + 4x)(x) $$

Distribute the variable x

$$ (x^2 \cdot x) + (4x \cdot x) $$

Simplify the terms

$$ x^3 + 4x^2 $$

Answer:

  • (A) \(x^3 + 4x^2\) (Correct answer)
  • (B) \(5x^2\)
  • (C) \(4x^4\)