Which of the following is the correct factorization of the polynomial below?27x3 + 64A.(3x + 4)(9x2 - 12x + 16)B.(9x + 8)(3x2 - 16x + 8)C.(3x2 + 8)(9x - 16x + 8)D.The polynomial is irreducible.SUBMITarrow_backPREVIOUS
Question
Which of the following is the correct factorization of the polynomial below?27x3 + 64A.(3x + 4)(9x2 - 12x + 16)B.(9x + 8)(3x2 - 16x + 8)C.(3x2 + 8)(9x - 16x + 8)D.The polynomial is irreducible.SUBMITarrow_backPREVIOUS
Solution
The correct factorization of the polynomial 27x^3 + 64 is A. (3x + 4)(9x^2 - 12x + 16). This is because it is a sum of cubes factorization, where a^3 + b^3 = (a + b)(a^2 - ab + b^2). Here, a is 3x and b is 4, so the factorization is (3x + 4)(9x^2 - 12x + 16).
Similar Questions
Which of the following is the correct factorization of the polynomial below?27x3 + 64y3A.(4x + 3y)(2x +8y)B.(4x + 3y)(9x2 - 12xy + 16y2)C.(3x + 4y)(9x2 - 12xy + 16y2)D.The polynomial is irreducible.
Question 7 of 10Which of the following is the correct factorization of the polynomial below?2x2 - 12x + 18A.2(x - 3)2B.2(x + 6)(x + 3)C.(2x + 6)(x + 3)D.The polynomial is irreducible.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
Which of the following is the correct factorization of the polynomial below?2p2 - 10pq + 25q2A.(2p - 5q)(p - 5q)B.(2p - 5q)(p + 5q)C.(2p - 5q)(2p2 + 2q)D.The polynomial is irreducible.SUBMITarrow_backPREVIOUS
Which of the following is the correct factorization of the polynomial below?x3 - 12A.(x + 3)(x - 4)B.(x - 3)(x + 4)C.(x + 3)(x2 - 4x + 4)D.The polynomial is irreducible.
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.