Question

Find all roots (zeros) please show work!!

Answer 1

Answer:

- $\frac{1}{2}$, 0

Step-by-step explanation:

8x⁴ + x = 0

factor out x:

x(8x³ + 1) = 0

The zero product property says that one of the terms needs to be equal to 0:

x = 0

8x³ + 1 = 0

Solve for x in the 2nd equation:

8x³ = -1

x³ = - $\frac{1}{8}$

x = - $\frac{1}{2}$

When x is either 0 or - $\frac{1}{2}$, the product will be equal to zero.

The roots are 0 and - $\frac{1}{2}$