Question

Which shows one way to determine the factors of x3 – 9x2 5x – 45 by grouping?

Answer 1

x(x2 5) – 9(x2 5) 
Hope this helps! (:

Answer 2

Answer:

Option (c) is correct

$x(x^2+5)-9(x^2+5)$ is correct way of grouping the terms of given polynomial $x^3-9x^2+5x -45$

Step-by-step explanation:

Given polynomial $x^3-9x^2+5x -45$

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 $x^3-9x^2+5x -45$

rewrite the polynomial as $x^3+5x-9x^2-45$

taking $x$ common from first two terms and -9 common from last two terms, we have,

$\Rightarrow x^3+5x-9x^2 -45$

$\Rightarrow x(x^2+5)-9(x^2+5)$

Thus,   $x(x^2+5)-9(x^2+5)$ is correct way of grouping the terms of given polynomial $x^3-9x^2+5x -45$

Option (c) is correct.