Respuesta :
4 x^5 - 6 x^4 + 4 x³ - 6 x² =
Answer: 1 ) 2 x² ( x² - 1 ) ( 2 x - 3 )
Answer: 1 ) 2 x² ( x² - 1 ) ( 2 x - 3 )
Answer:
Product of prim polynomials is [tex]4x^{5}-6x^{4}+4x^{3}-6x^{2}[/tex]
Step-by-step explanation:
The given expression is [tex]4x^{5}-6x^{4}+4x^{3}-6x^{2}[/tex]
We have to find out the prime polynomials, the product of which is the given expression.
To find those polynomials we will find the prime factors of the expression.
[tex]4x^{5}-6x^{4}+4x^{3}-6x^{2}=2x^{4}(2x-3)+2x^{2}(2x-3)[/tex]
[tex]=(2x^{4}+2x^{2})(2x-3)[/tex]
[tex]=2x^{2}(x^{2}+1)(2x-3)[/tex]
Therefore the product of prime polynomials is [tex]2x^{2}(x^{2}+1)(2x-3)[/tex].
