Question

Factor the following polynomials. Remember, factoring strategies for quadratic polynomials may be needed here.

Answer 1

For this problem, we are given a polynomial, and we need to factor it.

The polynomial is given below:

`64-324x^4`

We can use the difference between two squares to factor this polynomial. The base form of this notable product is shown below:

`\begin{gathered} (a-b)(a+b)=a^2-b^2\\ \\ \end{gathered}`

We can do the same with the original polynomial:

`64-324x^4=8^2-(18x^2)^2=(8-18x^2)(8+18x^2)`

The answer is (8-18x²)(8+18x²).