Question

Determine the roots of the f(x) using factor theorem f(x) = x⁴ - 8x²+ 16

Answer 1

Answer:

plz full questions and then I give you answer

Answer 2

Given:

f(x) = x⁴ - 8x²+ 16.

To Find:

The roots of the given equation.

Solution:

By factor theorem,

= x⁴ - 4x² - 4x² + 16.

= x²(x² - 4) - 4(x² - 4).

= (x² -4)(x² - 4).

So,

x² = 4.

x = √4.

x = ±2.

Hence, the roots of the given equation are +2 and -2.