Answer:
Option (c) is correct
[tex]x(x^2+5)-9(x^2+5)[/tex] is correct way of grouping the terms of given polynomial [tex]x^3-9x^2+5x -45[/tex]
Step-by-step explanation:
Given polynomial [tex]x^3-9x^2+5x -45[/tex]
We have to write in grouping form and choose the correct from given options.
Grouping of polynomial is expression a polynomial by making pairs such that we can take out some common factor from the paired terms.
Consider the given polynomial [tex]x^3-9x^2+5x -45[/tex]
rewrite the polynomial as [tex]x^3+5x-9x^2-45[/tex]
taking [tex]x[/tex] common from first two terms and -9 common from last two terms, we have,
[tex]\Rightarrow x^3+5x-9x^2 -45 [/tex]
[tex]\Rightarrow x(x^2+5)-9(x^2+5)[/tex]
Thus, [tex]x(x^2+5)-9(x^2+5)[/tex] is correct way of grouping the terms of given polynomial [tex]x^3-9x^2+5x -45[/tex]
Option (c) is correct.
