205k views
4 votes
What is the quotient (6x^4+15x^3+10x^2+10x+4)/(3x^2+2)

User Triamus
by
8.6k points

1 Answer

5 votes

Answer:

(2x + 1) • (x + 2)

Explanation:

Step 1 :

Equation at the end of step 1 :

(((15 • (x3)) - (2•5x2)) + 6x) - 4

Step 2 :

Equation at the end of step 2 :

(((3•5x3) - (2•5x2)) + 6x) - 4

Step 3 :

Checking for a perfect cube :

3.1 15x3-10x2+6x-4 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 15x3-10x2+6x-4

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

Group 1: 6x-4

Group 2: 15x3-10x2

Pull out from each group separately :

Group 1: (3x-2) • (2)

Group 2: (3x-2) • (5x2)

-------------------

Add up the two groups :

(3x-2) • (5x2+2)

Which is the desired factorization

User Rkoval
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.