Question

X^4-11x^2+18=0 factor

Answer 1

Answer:

(x² - 9)(x² - 2) = 0

x = 3 or √2

Step-by-step explanation:

To factor a polynomial, you need to find two expression that when multiplied together using FOIL (first, outside, inside, last) will produce the polynomial.  In this case the polynomial $x^{4}-11x^{2}+18=0$ can be factored into:

(x² - 9)(x² - 2) = 0

Setting each of these expressions equal to '0':

x² - 9 = 0 or x² = 9 so √x² = √9 or x = 3

x² - 2 = 0 or x² = 2 so √x² = √2 or x = √2