Factor a polynomial with four terms by grouping a trinomial.
E) prime

Question

Factor a polynomial with four terms by grouping a trinomial. 
E) prime

Quizplus · Accepted Answer

To factor a polynomial with four terms by grouping a trinomial, we need to find two pairs of terms whose greatest common factor is the same, and then factor out that common factor. 
For example, consider the polynomial: 
3x^2 + 9x - 4x - 12 
We can group the first two terms and the last two terms, like this: 
(3x^2 + 9x) - (4x + 12) 
Now we can factor out the greatest common factor from each group: 
3x(x + 3) - 4(x + 3) 
Notice that we now have a common binomial factor of (x + 3), so we can combine the terms: 
(3x - 4)(x + 3)

Applying this technique to the given polynomial, we can group the terms: 
12x^3 - 6x^2 + 11x - 5 
(12x^3 - 6x^2) + (11x - 5) 
Now we can factor out the greatest common factor from each group: 
6x^2(2x - 1) + 1(11x - 5) 
Notice that we now have a common binomial factor of (11x - 5), so we can combine the terms: 
6x^2(2x - 1) + (11x - 5) 
Therefore our answer is B: 11ec1e8e_2bff_181e_be9b_5b3fa0d18574_TBX8967_11

Factor a Polynomial with Four Terms by Grouping a Trinomial