All categories

3 years ago

Factor the polynomial:81m+48mn

1 answer:

7 0

To factor this polynomial you will have to first find the GCF of 81 and 48 and its 3.

So then you put 3 out the parentheses. 3(----).

Then you have to see how many times 3 goes into 81m and 48m. It is 27m and 16mn.

So then this is what you get, 3(27m-16mn)

Hope it helps you!!!

You might be interested in

In a small chess tournament, 20 matches were played. Find out how many people were involved if it is known that each participant

Nina [5.8K]

Answer:

5 players participated in the tournament.

Step-by-step explanation:

In a small chess tournament, 20 matches were played.

Let us assume that n number of players participated in the tournament

As in each game 2 players play, so the number of ways they can play is,

$=\ ^nC_2$

As they played 2 games with every other participant in the tournament.

So the total number of games is,

$=\ 2\times ^nC_2$

But it is given to be 20, so

$\Rightarrow \ 2\times ^nC_2=20$

$\Rightarrow \ ^nC_2=10$

$\Rightarrow \dfrac{n!}{2!(n-2)!}=10$

$\Rightarrow \dfrac{n(n-1)}{2}=10$

$\Rightarrow {n(n-1)=20$

As $5\times 4=20$ , so we get n=5.

Therefore, 5 players participated in the tournament.

5 0

2 years ago

Read 2 more answers

HELP PLS HELP ILL MARK YOU BRAINLEST

Harlamova29_29 [7]

D) 36, 144 is the answer

8 0

3 years ago

When the sun is at 31 above the horizon, a tree casts a 42 ft. shadow. how tall is the tree?

Fantom [35]

Answer: 25.2361459992ft

This question can be solved by a trigonometric equation. Shadow formed when something with height like a tree, so it can be pictured as a vertical line. Shadow is a length of and can be pictured as a horizontal line.
In trigonometric, to find the vertical line length with horizontal line you need tan function. The sun angle will be used in the function, so the calculation would be: tan(31) x 42ft = 25.2361459992ft

5 0

3 years ago

Is -16/-2 rational or irrational?

mel-nik [20]

Answer:

Totally Rational

Step-by-step explanation:

-16/-2 would give you 8 which is a rational number

I hope this helps, dont hesitate to ask for any question.Mark me as brainliest is appreciated.Tq!!

4 0

3 years ago

Q1W7 Learning Task 1 (Introduction)

Tatiana [17]

Answer:

Column A Column B

1. x² + 6x + 8 x-3,x+2

2. x³ - 7x + 6 x+1, x+2, x+3

3. x³ - 2x² - 5x + 6 x-1, x+2, x-3

Step-by-step explanation:

Column A Column B

1. x² + 6x + 8 x-3,x+2

2. x³ - 7x + 6 x+1, x+2, x+3

3. x³ - 2x² - 5x + 6 x-1, x+2, x-3

Using Factor theorem we put values of x = ±1,±2,±3 in each of the polynomials unless we get a zero.

1. x² + 6x + 8

= 1+6(1) +8= 15

1. x² + 6x + 8

4+ 12+8 = 24

1. x² + 6x + 8

(-1)² + 6(-1)+ 8

= 1-6+8= 3

1. x² + 6x + 8

(-2)² + 6(-2)+ 8

= 4-12+8= 0

1. x² + 6x + 8

(3)²+ 6(3) +8

= 9+18+8 ≠ 0

1. x² + 6x + 8

(-3)²+ 6(-3) +8

= 9-18+8 =-1

For this polynomial we have x+2= 0 or x=-2, x-3= 0 , x=3

2. x³ - 7x + 6

1-7+6= 0

2. x³ - 7x + 6

(-1)³-7(-1) +6

= 13-1≠0

2. x³ - 7x + 6

(2)³-7(2) +6

= 8-14+6= 0

2. x³ - 7x + 6

(-2)³-7(-2) +6

= -8 +14+6

2. x³ - 7x + 6

(-3)³-7(-3) +6

= -27+21+6 = 0

For this polynomial we have x+1= 0 , x+2 = 0 and x+3= 0, or x=-1,-2,-3

3. x³ - 2x² - 5x + 6

(1)³-2(1)²-5(1)+6

= 0

3. x³ - 2x² - 5x + 6

(-1)³-2(-1)²-5(-1)+6

= -1 -2 +5+6

3. x³ - 2x² - 5x + 6

(2)³-2(2)²-5(2)+6

= 8-8-10+6

=-4

3. x³ - 2x² - 5x + 6

(-2)³-2(-2)²-5(-2)+6

= -8-8+10+6

3. x³ - 2x² - 5x + 6

(3)³-2(3)²-5(3)+6

= 27-18-15+6

3. x³ - 2x² - 5x + 6

(-3)³-2(-3)²-5(-3)+6

= -27-18+15+6

=-14

For this polynomial we have x-1= 0 ,x+2=0, x-3= 0or x=1,-2,3

7 0

3 years ago