1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MaRussiya [10]
3 years ago
14

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

Mathematics
1 answer:
Alinara [238K]3 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
Find the value of n<br> (2n + 4)º
MatroZZZ [7]

Answer:

I don't recognize this problem, please make sure the input is complete.

Step-by-step explanation:

it that the full problem?

5 0
3 years ago
Determine the x-intercept and the y-intercept for the graph of this equation:<br> 2x - 3y + 36 = 0
natali 33 [55]

QUESTION:- DETERMINE THE X-INTERCEPT AND THE Y-INTERCEPT FOR THE GRAPH OF THE EQUATION.

EQUATION:- 2x - 3y + 36 = 0

STANDARD EQUATION:- y=mx+c

where

  1. m-> slope.
  2. c-> Y-INTERCEPT
  3. x&y are the coordinates.

SO GIVEN EQUATION:- 2x - 3y + 36 = 0

WE CAN SOLVE THIS TO CHANGE IN FORMAT OF STANDARD EQUATION

2x - 3y + 36 = 0 \\ 2x + 36 =3y \\ y =  \frac{2}{3} x +  \frac{36}{3}  \\ y =  \frac{2}{3} x +  \frac{ \cancel{36}^{ \:  \: 12} }{ \cancel3}  \\ y =  \frac{2}{3} x +  12 \\

SO :-

m =  \frac{2}{3}  \\ y - intercept = 12 \: ans

slope =  \frac{y2 - y1}{x2 - x1}  \\  \frac{2}{3}  =  \frac{0  - 12}{x  - 0}  \\ 2x = ( - 12) \times 3 \\ x =  \frac{ -  \cancel{12}^{ \:  \: 6} \times 3 }{ \cancel{2}} \\  x =  - 18 \:  \: ans

7 0
3 years ago
The length of a rectangle is 8 more than the width. The perimeter of the rectangle is 56 inches. Write and solve a system of lin
labwork [276]
I assume that the length of the rectangle is 8 inch more than width .

4 0
2 years ago
Read 2 more answers
Hello, I just want to say thank you so much to brainly! :)
Volgvan

Answer:

I totally agree

Step-by-step explanation:

It helps a lot.

4 0
3 years ago
Cameron is trying to ear eleven dollars for some new toys. If he charges three dollars to mow a lawn how many lawns will he need
7nadin3 [17]

Answer:

Cameron need to mow 4 lawns.

Step-by-step explanation:

Cameron needs 11$ for some new toys.

But he charges 3$ to mow a lawn.

So, he needs to mow 11/3= 3.66... lawns

The number of lawns can not be decimal. So, let's round to next whole number as 4.

3 0
2 years ago
Other questions:
  • A city had 5.4 inches of rain in September and 4.5 inches of rain in October. What is the difference in rainfall between the two
    10·2 answers
  • steve picks 55 pounds of pears. he packs an equal amount of pears into 6 bags. he then has 4 pounds of pears left. what is the w
    6·1 answer
  • Use the clues to find the mystery number. The mystery number is –
    12·2 answers
  • Evaluate each expression.
    5·1 answer
  • Which expression is equivalent to the given expression after using the distributive property? 6 · 13 + 6 · 7 A. 6 (13 + 7) B. 6
    8·1 answer
  • What is the volume of a pyramid 5 feet tall if its base is a square 4 feet by 4 feet
    12·2 answers
  • Which set is a proper subset of the counting numbers?<br><br> {−1,0,1}<br> {5}<br> {0}<br> {1,2,3,…}
    5·1 answer
  • Each morning papa notes the birds feeding on his birdfeeder. So far this month he has seen 59 blue jays, 68 black crows, 12 red
    7·2 answers
  • Anne solved 6(2x) − 3 = 22x + 32 for x by first distributing 6 on the left side of the equation. She got the answer x = −5. Howe
    5·1 answer
  • What is X=? // which choice is correct ? (Ignore my guessing choice mark)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!