What is the factorization of the trinomial below?-2x3 - 10x2 - 12xA.-2x(x + 3)(x + 2)B.-2x(x - 3)(x + 2)C.2x(x2 + 3)(x + 2)D.-2x(x + 3)(x - 2)SUBMITarrow_backPREVIOUS
Question
What is the factorization of the trinomial below?-2x3 - 10x2 - 12xA.-2x(x + 3)(x + 2)B.-2x(x - 3)(x + 2)C.2x(x2 + 3)(x + 2)D.-2x(x + 3)(x - 2)SUBMITarrow_backPREVIOUS
Solution
The factorization of the trinomial -2x^3 - 10x^2 - 12x is done by first factoring out the greatest common factor, which is -2x. This leaves us with -2x(x^2 + 5x + 6).
Next, we factor the quadratic x^2 + 5x + 6. We are looking for two numbers that multiply to 6 and add to 5. The numbers 2 and 3 fit this criteria, so we can factor the quadratic as (x + 2)(x + 3).
Therefore, the factorization of the trinomial -2x^3 - 10x^2 - 12x is -2x(x + 2)(x + 3).
So, the correct answer is A. -2x(x + 3)(x + 2).
Similar Questions
Which of the following is a correct factorization of this trinomial?-3x2 - 10x - 8A.-(x + 4)(x - 3)B.-(3x + 4)(x + 2)C.-3(x + 4)(x + 2)D.(-3x + 4)(x - 2)SUBMITarrow_backPREVIOUS
The expression below is the factorization of what trinomial?(7x + 5)(2x - 3)A.14x2 + 2x + 15B.14x2 - 11x - 15C.14x2 + 2x - 15D.14x2 - 11x + 15SUBMITarrow_backPREVIOUS
The expression below is the factorization of what trinomial?-1(x - 6)(x + 8)A.-x2 - 2x + 48B.-x2 - 2x - 48C.-x2 + 2x + 48D.-x2 + 2x - 48SUBMITarrow_backPREVIOUS
What is the factorization of the trinomial below?3x2 + 36x + 81A.(x + 2)(x + 27)B.3(x + 2)(x + 9)C.3(x + 3)(x + 9)D.(x + 3)(x + 9)SUBMITarrow_backPREVIOUS
What is the factorization of the polynomial below?16x2 - 9A.(4x + 3)(4x - 3)B.(8x - 3)(2x - 3)C.(8x + 3)(2x - 3)D.(4x - 3)(4x - 3)SUBMITarrow_backPREVIOUS
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.