Question

Factor by grouping.
4v^3-5v^2-24v+30

Answer 1

Answer:

4v3-5v2-24v+30

Final result :

(4v - 5) • (v2 - 6)

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(((4 • (v3)) - 5v2) - 24v) + 30

Step 2 :

Equation at the end of step 2 :

((22v3 - 5v2) - 24v) + 30

Step 3 :

Checking for a perfect cube :

3.1 4v3-5v2-24v+30 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 4v3-5v2-24v+30

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -5v2+30

Group 2: 4v3-24v

Pull out from each group separately :

Group 1: (v2-6) • (-5)

Group 2: (v2-6) • (4v)

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Add up the two groups :

(v2-6) • (4v-5)