Find the factorization of the polynomial below.64𝑥2+48𝑥+964x 2 +48x+9A.(8x + 3)(8x - 3)B.(8x + 3)(8x + 3)C.(8x + 9)(8x - 9)D.(8x + 9)(8x + 9)
Question
Find the factorization of the polynomial below.64𝑥2+48𝑥+964x 2 +48x+9A.(8x + 3)(8x - 3)B.(8x + 3)(8x + 3)C.(8x + 9)(8x - 9)D.(8x + 9)(8x + 9)
Solution
The given polynomial is 64x^2 + 48x + 9.
We can factorize this polynomial by looking for two numbers that multiply to give 64*9 = 576 (the product of the coefficient of x^2 and the constant term) and add up to give 48 (the coefficient of x).
The numbers that satisfy these conditions are 24 and 24 because 24*24 = 576 and 24 + 24 = 48.
Therefore, we can write the polynomial as 64x^2 + 24x + 24x + 9.
Now, we can factor by grouping:
64x^2 + 24x + 24x + 9 = 8x(8x + 3) + 3(8x + 3)
= (8x + 3)(8x + 3)
So, the factorization of the polynomial 64x^2 + 48x + 9 is (8x + 3)(8x + 3).
Therefore, the correct answer is B. (8x + 3)(8x + 3).
Similar Questions
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?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
What is the complete factorization of the polynomial below?x3 + x2 + 9x + 9A.(x - 1)(x + 3i)(x - 3i)B.(x + 1)(x + 3i)(x + 3i)C.(x - 1)(x + 3i)(x + 3i)D.(x + 1)(x + 3i)(x - 3i)SUBMITarrow_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
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.