Q. Factor the expression completely.−5x3+6x2Answer:
Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression −5x3+6x2.The GCF of −5x3 and 6x2 is x2, since x2 is the highest power of x that divides both terms, and the numerical GCF of −5 and 6 is 1.
Factor out GCF: Factor out the GCF from each term in the expression.−5x3+6x2 can be written as x2(−5x+6).
Check for further factorization: Check if the expression inside the parentheses can be factored further.The expression −5x+6 cannot be factored further since it is a linear expression with no common factors other than 1.
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