Question

X^4 - 36 = 0 Is factoring by polynomials

Answer 1

Answer: (x²-6)(x²+6)

Step-by-step explanation:

1. Look at 36 and determine if there is any factors that will make cancel out the middle term in the polynomial. Which in this case you would be able to use 6.

2. Next, we will reduce the x⁴ into x² since if you multiply x² • x² you will get x⁴ since you add exponents when multiplying.

3. Factor into to binomials which would be (x²−6)(x²+6) and if you want to simplify down further set each equation to 0 and solve and once you do that you would get x=±√6 for x²−6 but for x²+6 it would be imaginary because you can’t square root negative numbers, so in this case it would be −√6i and √6i.