All categories

3 years ago

Factorise 6x²-14x-12

Mathematics

1 answer:

maksim [4K]3 years ago

8 0

Answer:

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

Step-by-step explanation:

Given

6x² - 14x - 12 ← factor out 2 from each term

= 2(3x² - 7x - 6) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 6 = - 18 and sum = - 7

The factors are - 9 and + 2

Use these factors to split the x- term

3x² - 9x + 2x - 6 ( factor the first/second and third/fourth terms )

= 3x(x - 3) + 2(x - 3) ← factor out (x - 3) from each term

= (x - 3)(3x + 2)

Thus

3x² - 7x - 6 = (x - 3)(3x + 2) and

6x² - 14x - 12 = 2(x - 3)(3x + 2) ← in factored form

You might be interested in

500-400 x 1823= please help only Johannes02 comment

liberstina [14]

It is -728700 is my answer

please can i have a brainliest

7 0

2 years ago

Read 2 more answers

How do i do this without using pdf or power point plz help

dexar [7]

Grab some paper, a pencil, and a ruler. Make a 6 by 6 square

7 0

2 years ago

Read 2 more answers

1.4t−0.4(t−3.1)=5.8 SOLVE FOR Y

VladimirAG [237]

There is no y in this question, however we can solve for t.

1.4t - 0.4(t - 3.1) = 5.8
1.4t - 0.4t + 1.24 = 5.8
t + 1.24 = 5.8
t = 4.56

3 0

3 years ago

A submarine dives at a constant speed of 10 m/s at a diving angle measured from the vertical

valina [46]

Answer:

155.3 m

Step-by-step explanation:

We have:

θ: is the angle measured from the vertical = 75 °

v = is the speed of the submarine = 10 m/s

t = 1 min

The deep of the front end of the submarine at the end of a 1-minute drive is given by the following ratio:

$cos (\theta) = \frac{x}{d}$

Where:

d: is the distance traveled by the submarine in 1 minute

x: is the deep to find

The distance, d, is:

$d = v*t = 10 \frac{m}{s}* 1 min * \frac{60 s}{1 min} = 600 m$

Now, the deep is:

$cos (75) = \frac{x}{600}$

$x = cos(75)*600 = 155.3 m$

Therefore, the deep of the front end of the submarine at the end of a 1-minute drive is 155.3 m.

I hope it helps you!

3 0

3 years ago

In the diagram, JK || GI. If the ratio of HJ to JG is 3 to 1, then what is the ratio of HK to KI?

Ket [755]

Don’t click that is a scam to get your cookies

5 0

2 years ago

Factorise 6x²-14x-12​

Factorise 6x²-14x-12