Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial. 2r^3 - 6r ______

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Find GCF of Terms: We need to find the greatest common factor (GCF) of the terms 2r^3 and -6r. To do this, we look for the highest power of r that is common to both terms and the largest number that divides both coefficients.GCF of Coefficients: The GCF of the coefficients 2 and -6 is 2 since 2 is the largest number that divides both 2 and 6.GCF of Variables: The GCF of the variables r^3 and r is r, since r is the highest power of r that is common to both terms (r^1 is contained in r^3).Combine Coefficients and Variables: Combining the GCF of the coefficients and the variables, we get the GCF of 2r^3 and -6r to be 2r.Divide Each Term by GCF: Now we divide each term by the GCF to factor it out: 2r^3 ÷ 2r = r^2 -6r ÷ 2r = -3Write Original Polynomial with GCF Factored Out: Writing the original polynomial with the GCF factored out, we get: 2r^3 - 6r = 2r(r^2 - 3)

Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $2r^3 - 6r$

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Factor out the greatest common factor. If the greatest common factor is 111, just retype the polynomial.\newline2r3−6r2r^3 - 6r2r3−6r

Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $2r^3 - 6r$