Q. Factor the expression completely.−50x4−30xAnswer:
Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression −50x4 and −30x.The GCF of −50 and −30 is −10.The GCF of x4 and x is x.So, the GCF of the entire expression is −10x.
Factor out GCF: Factor out the GCF from the expression.−50x4−30x=−10x(5x3+3)
Check for further factoring: Check if the expression inside the parentheses can be factored further.The expression 5x3+3 does not have any common factors and is not a special polynomial like a difference of squares or a perfect square trinomial.Therefore, it cannot be factored further.
Write final factored expression: Write down the final factored expression.The completely factored form of the expression is −10x(5x3+3).
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