All categories

3 years ago

Using the X Method to Factor a Trinomial

Mathematics

1 answer:

sashaice [31]3 years ago

5 0

Answer:

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

Step-by-step explanation:

Given the trinomial: $6x^2 + 13x + 6.$

We want to use the X Method to Factor the Trinomial.

a=6, b=13, c=6

The value of ac is 6*6=36
The value of b=13

Factors of 36 are:

1,2,3,4,6,9,12,18,36

Product of factors that gives 36 are:

1X36
2X18
3X12
4X9
6X6

The two numbers that have a product of ac (36) and a sum of b (13) are: 4 and 9.

Therefore our trinomial becomes:

$6x^2 + 13x + 6\\=6x^2 +9x +4x+ 6\\=3x(2x+3)+2(2x+3)\\=(3x+2)(2x+3)$

Thus, $6x^2 + 13x + 6$ in factored form is (3x+2)(2x+3)

You might be interested in

PLZ ANSWER 1-2x = -X-3

DIA [1.3K]

Answer:

-4=x

Step-by-step explanation:

1) 1-2x=-x-3 (letter's to the left)

2) then you get 1-x=-3

3) then you subtract 1 on both sides

4) then you dived the -1

5)answer -4=x

5 0

3 years ago

Simultaneous equations 5x + 3y= 31 2x + y = 12 a. find for x b. find for y

Anna007 [38]

Answer:

x=5

y=2

Step-by-step explanation:

5x + 3y= 31

-6x - 3y = -36 (multiple by -3)

-x=-5

x=5

2(5)+y=12 or 25 + 3y= 31

10+y=12 3y=6

y=2 y=2

8 0

3 years ago

Read 2 more answers

Problem1 The behavior of a physical system can be described by the following first order differential equation: dy/dt=2y +t^2

daser333 [38]

Answer:

$y = \dfrac{t^3e^{2t}}{3}+Ce^{2t}$ .

Step-by-step explanation:

Using first order linear differential equation:

$\dfrac{\mathrm{d} y}{\mathrm{d} t} = 2y + t^2$

$\frac{\mathrm{d} y}{\mathrm{d} t} - 2y =t^2$

finding integrating factor:

I.F = $e^{\int -2dt}$

I.F = $e^{-2t}$

now,

$y = \dfrac{1}{IF}(\int t^2dt+ c )$

$y = \dfrac{1}{e^{-2t}}(\int t^2dt+ c )$

$y = \dfrac{t^3e^{2t}}{3}+Ce^{2t}$

hence the solution is

$y = \dfrac{t^3e^{2t}}{3}+Ce^{2t}$

8 0

4 years ago

We use mathematical induction to prove things when:

scoray [572]

Answer:

We have two cases.

Step-by-step explanation:

A proof by Induction consists of two cases, the base case (or basis) and the induction step. Induction is a style of argument we use to convince ourselves and others that a mathematical statement is always true. Many mathematical statements can be proven by simply explaining what they mean.

Hope this helps.

Please mark me as Brainliest.

5 0

3 years ago

Help PLEASE!

laila [671]

Answer:

the first answer is correct Edge 2020

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers