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3 years ago

Factor the trinomial by grouping. 6x^2 - 7x-20

Mathematics

1 answer:

mezya [45]3 years ago

4 0

Answer:

(3x+4)(2x-5)

Step-by-step explanation:

You have 6x^2 - 7x-20, you add and take 8x so now you have

6x^2 - 7x +8x -8x -20 now you take 6x^2 and the +8x and factorize

6x^2 +8x = 2x( 3x +4 )

and you have -7x -8x-20 = -15x -20 factorize

-5(3x +4 ) add all up.

2x(3x +4) -5(3x +4) and you have

(3x+4)(2x-5)

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Find the value of the missing coefficient in the factored form of 8f^3-216g^3

adoni [48]

Answer:

The value of the missing coefficient is 12

Step-by-step explanation:

* Lets explain how to factorize the difference of two cubes

- The factorization of the difference of two cubes like a³ - b³, is a

product of a binomial and trinomial

- The binomial is the cube root of the first term and the second term

∵ The ∛a³ = a and ∛b³ = b

∴ The binomial is (a - b)

- We will find the trinomial from the binomial by square the 1st term

of the binomial and multiply the 1st term and the 2nd term of the

binomial with opposite sign of the binomial and square the 2nd

term of the binomial

∴ The trinomial is (a² + ab + b²

∴ The factorization of (a³ - b³) is (a - b)(a² + ab + b²)

* Lets solve the problem

∵ 8f³ - 216g³ is the difference of two cubes

∵ ∛(8f³) = 2f

∵ ∛(216g³) = 6g

∴ The binomial is (2f - 6g)

- Lets make the trinomial

∵ (2f)² = 4f²

∵ (2f)(6g) = 12fg

∵ (6g)² = 36g²

∴ The trinomial = (4f² + 12fg + 36g²)

∴ The factorization of 8f³ - 216g³ = (2f - 6g)(4f² + 12fg + 36g²)

∴ The value of the missing coefficient is 12

7 0

3 years ago

Someone help me pleaseeeee

Rus_ich [418]

Answer:

5. Plane P

6. Line segment DB

7. Line CE

11. Ray BE (with an arrow on top from left to right) and Ray EC (with an arrow on top from left to right)

5 0

3 years ago

Solve using foil method (x+9)(x+9)

Fudgin [204]

X^2+9x+9x+81
x^2+18x+81
for factoring it

3 0

3 years ago

3/4 is 60% of what number

Mariana [72]

First change the fraction to percent.
3/4 = 60%

Then change the percent to the decimal.
60% = 0.75

Now multiply it.
<span>0.75 x 60% = 45
</span>
45 is the answer.

3 0

3 years ago

Math. please help me!!!

d1i1m1o1n [39]

Part A.

In this part we have to find the increasing interval .

Increasing interval is that interval where graph goes up. And from the graph we can say that the graph goes up in the interval

$(-1,0)U (1, \infty)$

And that's the increasing interval .

Part B.

Correct option is B

x and y intercepts

x intercept is the point where graph touches the x axis. And the graph touches the x axis at x=-1 and 1 .

So the x intercepts are

$(-1,0) ,(1,0)$

y intercepts are the point, where the graph touches or crosses the y axis.

Therefore the y intercept is (0,1)

So the correct option is D .

4 0

3 years ago

Read 2 more answers