Find the factorization of the polynomial below 64x^2+48x+9 a. (8x+3)(8x-3) b. (8x+9)(8x-9) c. (8x+3)(8x+3) d. (8x+9)(8x+9)

the answer is C, (8x + 3)^2 :)

The correct answer is C. (8x+3)(8x+3)

Step-by-step explanation:

In order to obtain the correct answer we have to analyze the terms of the polynomial. Notice that the first term has 64 as coefficient, and 64=8*8 and the third term is 9, and 9=3*3. Those facts suggest that the factorization can be done in term of a square binomial. This assumption is confirmed noticing that 48=2*8*3. Therefore, 64x^2+48x+9 = (8x+3)(8x+3).

The answer can be checked expanding the product (8x+3)(8x+3).

step-by-step explanation: