Marya wants to factor the polynomial 36x3 – 22x2 – 144x. Which term can she add to the polynomial that would not change its greatest common factor? Check all that apply.

–11
–50xy
–40x2
24
10y

Given:

36x³ - 22x² - 144x

GCF:
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3

22 ÷ 2 = 11

144 ÷ 2 = 72
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3

2 is the GCF of all terms. We can add 24. It would not change the GCF of the polynomial.

36x³ - 22x² - 144x + 24

2(18x³ - 11x² - 72x + 12)

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Limosa Limosa · Answer 2 · 2018-10-29T08:20:32+01:00

Answer:

–50xy

–40x2

Will not change the Greatest Common Factor.

Step-by-step explanation:

Greatest common factor is the highest factor that divides 2 or more number.

We can find the GCF by multiplying all the factors that are common to each number.

Factors of [tex]36x^{3}[/tex]=1,2,3,4,6,9,12,18, 36 and [tex]x[/tex],[tex]x^{2}[/tex],,[tex]x^{3}[/tex]

Factors of [tex]22x^{2}[/tex]=1,2,11, [tex]x[/tex] and [tex]x^{2}[/tex]

Factors of [tex]144x[/tex]=1,2,3,4,6,8,9,12,16,18,24,36 and [tex]x[/tex] and more.

So the common factors to all three numbers are 1,2 and x.

So GCF = [tex]1\times2\timesx=2x[/tex]

If we use 11 it will change the GCF to 11.

If we use [tex]50xy[/tex] it will not change the GCF.

If we use 40[tex]40x^{2}[/tex] it will not change the GCF.

IF we use 24 it will change the GCF.

If we use 10y it will change the GCF.

Marya wants to factor the polynomial 36x3 – 22x2 – 144x. Which term can she add to the polynomial that would not change its greatest common factor? Check all that apply. –11 –50xy –40x2 24 10y

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Marya wants to factor the polynomial 36x3 – 22x2 – 144x. Which term can she add to the polynomial that would not change its greatest common factor? Check all that apply.

–11
–50xy
–40x2
24
10y