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Factor the expression completely.

x^(4)+7x^(3)
Answer:

Factor the expression completely.\newlinex4+7x3 x^{4}+7 x^{3} \newlineAnswer:

Full solution

Q. Factor the expression completely.\newlinex4+7x3 x^{4}+7 x^{3} \newlineAnswer:
  1. Identify common factors: Identify common factors in the terms.\newlineBoth terms x4x^4 and 7x37x^3 have a common factor of x3x^3.
  2. Factor out GCF: Factor out the greatest common factor (GCF).\newlineThe GCF of x4x^4 and 7x37x^3 is x3x^3. So we factor x3x^3 out of the expression.\newlinex4+7x3=x3(x+7)x^4 + 7x^3 = x^3(x + 7)
  3. Check for further factoring: Check to see if the factored expression can be factored further.\newlineThe expression inside the parentheses, x+7x + 7, cannot be factored further since it is a sum of a variable and a constant.

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