All categories

2 years ago

What is the greatest common factor of the polynomial's terms?

Mathematics

1 answer:

Alinara [238K]2 years ago

4 0

Step-by-step explanation:

Write the prime factorization of each term:

9r⁵s = 3² × r⁵ × s

6r⁴s² = 2 × 3 × r⁴ × s²

12r²s = 2² × 3 × r² × s

The greatest common factor will have all the common factors raised to their lowest exponent.

So all three terms have 3, r, and s as factors. The lowest exponent of 3 is 1. The lowest exponent of r is 2. The lowest exponent of s is 1.

GCF = 3 × r² × s

GCF = 3r²s

Factor out the GCF:

9r⁵s + 6r⁴s² − 12r²s

3r²s (3r³ + 2r²s − 4)

You might be interested in

Rewrite x2 − 8x + 13 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values. a = 4 and b = 3

Lyrx [107]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

HELP PLEASE

kotegsom [21]

<span>y = f(x) = ax is not an exponential function; it's a linear function. Please ensure that you have copied down the entire problem given to you.

</span>

3 0

2 years ago

Liam and evan are mixing paint. Liam uses 2 quarts of yellow paint and adds 3 1/4 jars of blue paint. Evan uses 1/2 quart of yel

Alina [70]

Answer:

The required equation is given by,

2 + $\frac {13x}{4}$ = $\frac {1}{2} + \frac {11y}{2}$

Step-by-step explanation:

Let, each jar of Liam's paint contains x quarts of paint.

Then, Liam's solution contains,

2 + $3\dfrac {1}{4} \times x$ quarts of paint or,

2 + $\frac {13x}{4}$ quarts of paint

and,

let, each jar of Evan's paint contains, y quarts of paint.

Then, Evan's solution contains,

$\frac {1}{2} + 5 \dfrac {1}{2} \times y$ quarts of paint or,

$\frac {1}{2} + \frac {11y}{2}$ quarts of paint

now, according to the question,

the required equation is given by,

2 + $\frac {13x}{4}$ = $\frac {1}{2} + \frac {11y}{2}$

3 0

3 years ago

(3x^2-2)^6 expand the binomial

Alisiya [41]

Answer:

3^6 * x^6 2-2^6, im not sure

Step-by-step explanation:

8 0

2 years ago

The stem and leaf plot below shows the number of points scored in each basketball game a team played during a season in how many

Anarel [89]

Answer:

I dont know but have a good day

7 0

1 year ago