Answer :
Question:
Assume that any variable exponents represent whole numbers. Factor the greatest common factor from the polynomial.
[tex]9x^4 -6x^2[/tex]
Answer:
[tex]3x^2(3x^2 -2)[/tex]
Step-by-step explanation:
Given
[tex]9x^4 -6x^2[/tex]
Required
Factorize
[tex]9x^4 -6x^2[/tex]
Express 9 as 3 * 3 and 6 as 3 * 2
[tex]3 * 3x^4 -3 * 2x^2[/tex]
Factorize 3 from both terms
[tex]3(3x^4 -2x^2)[/tex]
Express x^4 as x^2 * x^2
[tex]3(3x^2 * x^2 -2x^2)[/tex]
Factorize x^2 from both terms
[tex]3x^2(3x^2 -2)[/tex]
Hence, the factors of [tex]9x^4 -6x^2[/tex] are
[tex]3x^2[/tex] and [tex]3x^2 - 2[/tex]