Question

factor the following polynomial completely by grouping. if the expression cannot be factored, enter the expression as is. $2m^{3}-5m^{2}+6m - 15$

Explanation:

Step1: Group the terms

$(2m^{3}-5m^{2})+(6m - 15)$

Step2: Factor out the GCF from each group

$m^{2}(2m - 5)+3(2m - 5)$

Step3: Factor out the common binomial factor

$(2m - 5)(m^{2}+3)$

Answer:

$(2m - 5)(m^{2}+3)$