All categories

3 years ago

Factor 3x^3+6x^2+x+2 by grouping

Mathematics

2 answers:

bezimeni [28]3 years ago

7 0

The answer for this question when grouping:

(x+2)(3x^2+1)

UkoKoshka [18]3 years ago

7 0

3x^3 + 6x^2 + x +2

Let's divide the question into the left and right side:
The left side:
3x^3 + 6x^2
Take out the greatest common factor (3x^2)
3x^2(x+2)

Now the right side:
x+2
Take out greatest common factor (1)
1(x+2)

Notice how each side has a parenthesis of (x + 2); this is good. We combine the matching elements into one, and take the greatest common factors we pulled and make them into a group. As shown:

(3x^2 +1) is the two greatest common factors we pulled.

(x+2) is the common parenthesis.
Now combine them for your answer:

(3x^2+1)(x+2) is your factored answer.

I hope this Helps!

You might be interested in

If a triangle has vertices A (-5, 1), B (3, 5) and C (2, -3),

elixir [45]

Answer:

Step-by-step explanation:

8 0

2 years ago

Please help with math problem

scoundrel [369]

Answer:

From least to greatest:

-2, 0.2, 1/2

Step-by-step explanation:

-2 is below 0. 0.2 is below 1/2 (0.5) and 0.5 is the highest.

6 0

2 years ago

ANSWER ASAP!! Find the area of a triangle with legs that are: 12 m, 15 m, and 9 m.

Setler79 [48]

Answer:

Step-by-step explanation:

<h3>METHOD 1:</h3>

You can use the Heron's formula:

$A=\sqrt{p(p-a)(p-b)(p-c)}$

where

<em>p</em><em> - half of perimeter</em>

<em>a, b, c</em><em> - lengths of sides</em>

We have

$a=12m;\ b=15m;\ c=9m$

Calculate:

$p=\dfrac{12+15+9}{2}=\dfrac{36}{2}=18\ (m)\\\\A=\sqrt{18(18-12)+(18-15)(18-9)}\\\\A=\sqrt{(18)(6)(3)(9)}\\\\A=\sqrt{2916}\\\\A=54\ (m^2)$

<h3>METHOD 2:</h3>

Let's check that it is not a right triangle.

If the sum of the squares of the two shorter sides is equal to the square of the longest side, then this triangle is rectangular.

We have

$9m < 12m$

Check:

$9^2+12^2=81+144=225\\15^2=225$

This is a right trianglr wherew 9m and 12m are legs and 15m is a hypotenuse.

The formula of an area of a right triangle is:

$A=\dfrac{ab}{2}$

Substitute:

$A=\dfrac{(9)(12)}{2}=\dfrac{108}{2}=54\ (m^2)$

6 0

3 years ago

I dont understand please help

DiKsa [7]

$2 \frac{1}{2}+(-2\frac{1}{4})$

This is equal to:

$2\frac{1}{2}-2\frac{1}{4}$

When you add a negative number, it turns into subtraction.

First, I would change it to mixed numbers:

$\frac{5}{2}-\frac{9}{4}$

Now, you need to change the denominators to make sure they are the same on both fractions. I changed the first fraction's denominator to 4 so they match. You can do this by multiplying the numerator by 2:

$\frac{10}{4}-\frac{9}{4}$

Now, you simply subtract:

10-9=1

1/4 is your answer.

I hope this helps :)

3 0

3 years ago

FIRST PERSON TO ANSWER BRAINLIEST+POINTS, NEED TO EXPLAIN, ANSWER, AND GIVE AN EX.

Eddi Din [679]

Answer: 2nd diagram, explanation below

Step-by-step explanation:

Since it is 8 magnet students for 3 magic students, the second diagram is correct.

The second part, you would need to set up a system of equations:

Let m = magnet students and t = magic students

t + 25 = m

(8/3)t = m. Since m = m, substitute: t + 25 = (8/3)(t). Now solve for t: t = 8t/3 - 25,

t = (8t - 75)/3, in this step I turned 25 into 75/3 and place it with 8t so it doesn't change the value of the equation.

3t = 8t - 75, in this step I multiplied every term by 3 to eliminate the demoninator. Now I solve the final steps:

-5t = -75, 5t = 75

t = 15

Hope this helps, please consider making me Brainliest.

5 0

1 year ago

Read 2 more answers