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Factor the expression completely.

-5x^(3)+6x^(2)
Answer:

Factor the expression completely.\newline5x3+6x2 -5 x^{3}+6 x^{2} \newlineAnswer:

Full solution

Q. Factor the expression completely.\newline5x3+6x2 -5 x^{3}+6 x^{2} \newlineAnswer:
  1. Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression 5x3+6x2-5x^{3} + 6x^{2}.\newlineThe GCF of 5x3-5x^{3} and 6x26x^{2} is x2x^{2}, since x2x^{2} is the highest power of xx that divides both terms, and the numerical GCF of 5-5 and 66 is 11.
  2. Factor out GCF: Factor out the GCF from each term in the expression.\newline5x3+6x2-5x^{3} + 6x^{2} can be written as x2(5x+6)x^{2}(-5x + 6).
  3. Check for further factorization: Check if the expression inside the parentheses can be factored further.\newlineThe expression 5x+6-5x + 6 cannot be factored further since it is a linear expression with no common factors other than 11.

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