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2 years ago

Factor the trinomial: 2x^2+13x+21

Mathematics

1 answer:

svet-max [94.6K]2 years ago

3 0

Answer:

(2x + 7)(x + 3)

Step-by-step explanation:

2x² + 13x + 21

2x² + 6x + 7x + 21

2x(x + 3) +7(x + 3)

(2x + 7)(x + 3)

You might be interested in

Solve this system of equations without graphing and show your reasoning

Drupady [299]

Answer:

x = 1/5

y = 6

Step-by-step explanation:

System:

{5x + y = 7

{20x + 2 = y

First equation:

5x + y = 7 -> y = -5x + 7

Plug into second equation:

20x + 2 = -5x + 7

Subtract 2 from both sides:

20x = -5x + 5

Add 5x to both sides:

25x = 5

Divde both sides by 25:

x = 5/25 -> 1/5

~~~~~~~~~~~~~~~~~~~~~~~~~~~`

Come back to the first equation:

5x + y = 7

Plus in our x:

5(1/5) + y = 7

Multiply:

1 + y = 7

Subtract 1 from both sides:

y = 6

Hope this helps, have a nice day! :D

7 0

2 years ago

Maricella solves for x in the equation 4x-2(3x-4)+4=-x+3(x+1)+1. She begins by adding –4 + 4 on the left side of the equation an

Elodia [21]

Maricella’s strategy is incorrect as the values added on the left and right side of the equation changes the original equation $4x-2(3x-4)+4=-x+3(x+1)+1$ to $4x-2(3x-4)+4=-x+3(x+1)+3$ .

Further explanation:

Maricella begin by adding $-4+4$ on the left side of the equation and $1+1$ on the right side of the equation $4x-2(3x-4)+4=-x+3(x+1)+1$ .

The value added on the left is equal to zero so it does not change the equation but the value added on the right is 2, a non-zero digit so it changes the equation as shown below.

$4x-2(3x-4)+4-4+4=-x+3(x+1)+1+1+1\\4x-2(3x-4)+4+0=-x+3(x+1)+1+2\\4x-2(3x-4)+4=-x+3(x+1)+3$

Therefore, the strategy used by Maricella will change the equation and so the solution of the equation will be incorrect.

One way of solving such a linear equation is by adding or subtracting the required value on each side of the equation. and then simplifying the further equation.

Similarly, the other way to solve any linear equation is by separating the variable terms on one side of the equation and constant terms on the other side of the equation.

After this simplify the linear equation to obtain the solution of the equation for $x$ .

Whereas Maricella’s strategy fails to solve the equation $4x-2(3x-4)+4=-x+3(x+1)+1$ since the values added and subtracted in the equation changes the original equation completely.

Learn more:

1. Linear equation application brainly.com/question/2479097

2. To solve one variable linear equation brainly.com/question/1682776

3. Binomial and trinomial expression brainly.com/question/1394854

Answer details

Grade: Middle school

Subject: Mathematics

Chapter: Linear equation

Keywords: equation, linear equation, Maricella, right side, left side, strategy, solve for $x$ , adding, subtracting, variable, constant, solution of the equation, value, original equation, variable terms, constant terms.