Which shows one way to determine the factors of x3 – 9x2 5x – 45 by grouping? a. x2(x – 9) – 5(x – 9) b. x2(x 9) – 5(x 9) c. x(x2 5) – 9(x2 5) d. x(x2 – 5) – 9(x2 – 5)

Option (c) is correct

is correct way of grouping the terms of given polynomial

Step-by-step explanation:

Given polynomial

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

rewrite the polynomial as

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

Thus,   is correct way of grouping the terms of given polynomial

Option (c) is correct.