By grouping the given polynomial [tex]2g^3-g^2-8g+4[/tex] we got the factorized form as [tex](2g-1)(g+2)(g-2)[/tex]
What is polynomial ?
Polynomial is an expression which consists of indeterminates and coefficient.
Here given polynomial
[tex]2g^3-g^2-8g+4\\\\\\\text{We will factorize by} \textbf{ Grouping}\\\\\Rightarrow 2g^3+3g^2-4g^2-2g-6g+4\\\\\Rightarrow 2g^3+3g^2-2g-4g^2-6g+4\\\\\Rightarrow g(2g^2+3g-2)-2(2g^3+3g-2)\\\\\Rightarrow (2g^2+3g-2)(g-2)\\\\\Rightarrow (2g^2+4g-g-2)(g-2)\\\\\Rightarrow (2g(g+2)-1(g+2))(g-2)\\\\\Rightarrow (2g-1)(g+2)(g-2)\\\\[/tex]
By grouping the given polynomial [tex]2g^3-g^2-8g+4[/tex] we got the factorized form as [tex](2g-1)(g+2)(g-2)[/tex]
To learn more about polynomials vist :brainly.com/question/2833285
