Question

${x}^{4} - 16 =$
​

Answer 1

Step-by-step explanation:

x^4 -16 = 0

x^4 = 16

x =+ 2 or x = -2

Hope it helps uh!

Answer 2

Answer:

x⁴ - 16 = ( x² + 4 ) ( x + 2 ) ( x - 2 )

Step-by-step explanation:

Probably we have to factorize the given question, right?

Well, let's begin with the process of factorization.

Let's rewrite the given polynomial first.

x⁴ - 16

=> ( x² )² - ( 4 )²

We know that, a² - b² = ( a + b ) *( a - b ) so,

=> ( x² + 4 ) * (x² - 4 )

=> ( x² + 4) * [ (x) ² - (2)²]

Again, using the same above discussed identity,

=> ( x² + 4 ) ( x + 2 ) ( x - 2 )

Hence, the polynomial is factorized.