Question

Factor completely. Drag the expressions into the box if they are part of the factored form of the polynomial. If the polynomial is not factorable, drag Prime.

a) 64x⁴
b) xy³

Answer 1

To factor the polynomial 64x⁴, write it as a perfect fourth power: (4x²)⁴. The factored form is (4x²)². The polynomial xy³ is already in factored form as xy³.

Step-by-step explanation:

To factor the polynomial 64x⁴, we can first write it as a perfect fourth power: (4x²)⁴. Then, we can use the formula for factoring a perfect fourth power: a⁴ = (a²)². Applying this formula, we can factor 64x⁴ as (4x²)⁴ = (4x²)².

Therefore, the factored form of 64x⁴ is (4x²)².

For the polynomial xy³, it is already in factored form as there are no common factors or additional terms that can be factored out. Therefore, the factored form of xy³ is xy³ itself.