Question

4. One of the factors of ( 64x² - 1) - ( 1+ 8x) is
a) (8 + x) b) (8 - x) c) (8x + 1) d) (8x - 1)​

Answer 1

Step-by-step explanation:

Step by step solution :

STEP

1

:

Equation at the end of step 1

(26x2 + 48x) + 9 = 0

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring 64x2+48x+9

The first term is, 64x2 its coefficient is 64 .

The middle term is, +48x its coefficient is 48 .

The last term, "the constant", is +9

Step-1 : Multiply the coefficient of the first term by the constant 64 • 9 = 576

Step-2 : Find two factors of 576 whose sum equals the coefficient of the middle term, which is 48 .

-576 + -1 = -577

-288 + -2 = -290

-192 + -3 = -195

-144 + -4 = -148