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Factor the expression completely.

5x+8x^(2)
Answer:

Factor the expression completely.\newline5x+8x2 5 x+8 x^{2} \newlineAnswer:

Full solution

Q. Factor the expression completely.\newline5x+8x2 5 x+8 x^{2} \newlineAnswer:
  1. Identify Common Factor: Identify the common factor in both terms of the expression 5x+8x25x + 8x^2. Both terms have an xx in common.
  2. Factor Out Common xx: Factor out the common xx from both terms.x(5+8x)=5x+8x2x(5 + 8x) = 5x + 8x^2Check to ensure that when you distribute the xx back into the parentheses, you get the original expression.x5+x8x=5x+8x2x\cdot 5 + x\cdot 8x = 5x + 8x^2
  3. Check Distribution: Check if the expression inside the parentheses can be factored further.\newlineThe expression 5+8x5 + 8x inside the parentheses does not have any common factors and is not a special polynomial (like a difference of squares or a perfect square trinomial), so it cannot be factored further.

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