Answer:
(x^2-4)(x^2-1)
Step-by-step explanation:
Here, we want to factorize the given expression
x^4 - 5x^2 + 4
x^4 - x^2-4x^2 + 4
= x ^2(x^2 - 1)-4(x^2-1)
= (x^2-4)( x^2-1)
The factor of x⁴ - 5x² + 4 is (x - 1) (x + 1) (x-2) (x + 2) = 0
The factors of a polynomial are those values that if multiplied together they can be equal to the original value of the polynomial.
From the given information, the factor of x⁴ - 5x² + 4 can be determined using the difference of square.
Since both terms are perfect squares, the factors can be expressed by using the difference of square formula:
From
where;
∴
the factors of x⁴ - 5x² + 4 can be expressed as(x - 1) (x + 1) (x-2) (x + 2) = 0 in the form a² - b² = (a+b) (a - b)
Learn more about polynomials here:
https://brainly.com/question/11536910?referrer=searchResults
