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Factor the expression completely.

4x+7x^(2)
Answer:

Factor the expression completely.\newline4x+7x2 4 x+7 x^{2} \newlineAnswer:

Full solution

Q. Factor the expression completely.\newline4x+7x2 4 x+7 x^{2} \newlineAnswer:
  1. Identify common factors: Identify common factors in the terms.\newlineIn the expression 4x+7x24x + 7x^2, both terms have an xx in common.
  2. Factor out common factor: Factor out the common factor.\newlineFactor xx out of both terms to get x(4+7x)x(4 + 7x).
  3. Check for further factoring: Check if the remaining expression inside the parentheses can be factored further.\newlineThe expression 4+7x4 + 7x inside the parentheses cannot be factored further since there are no common factors and it is not a special polynomial (like a difference of squares or a perfect square trinomial).
  4. Write final factored form: Write down the final factored form.\newlineThe completely factored form of the expression is x(4+7x)x(4 + 7x).

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