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3 years ago

Factorise:2x^4+x^3-14x^2-19x-6

Mathematics

1 answer:

tester [92]3 years ago

6 0

Answer:

(x+1)(2x+1)(x+2)(x−3)

Step-by-step explanation:

Factor 2x^4+x^3−14x^2−19x^−6

2x^4+x^3−14x^2−19x^−6

=(x+1)(2x+1)(x+2)(x−3)

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Derive these identities using the addition or subtraction formulas for sine or cosine: sinacosb=(sin(a+b)+sin(a-b))/2

Sergeu [11.5K]

Answer:

The work is in the explanation.

Step-by-step explanation:

The sine addition identity is:

$\sin(a+b)=\sin(a)\cos(b)+\cos(a)\sin(b)$ .

The sine difference identity is:

$\sin(a-b)=\sin(a)\cos(b)-\cos(a)\sin(a)$ .

The cosine addition identity is:

$\cos(a+b)=\cos(a)\cos(b)-\sin(a)\sin(b)$ .

The cosine difference identity is:

$\cos(a-b)=\cos(a)\cos(b)+\sin(a)\sin(b)$ .

We need to find a way to put some or all of these together to get:

$\sin(a)\cos(b)=\frac{\sin(a+b)+\sin(a-b)}{2}$ .

So I do notice on the right hand side the $\sin(a+b)$ and the $\sin(a-b)$ .

Let's start there then.

There is a plus sign in between them so let's add those together:

$\sin(a+b)+\sin(a-b)$

$=[\sin(a+b)]+[\sin(a-b)]$

$=[\sin(a)\cos(b)+\cos(a)\sin(b)]+[\sin(a)\cos(b)-\cos(a)\sin(b)]$

There are two pairs of like terms. I will gather them together so you can see it more clearly:

$=[\sin(a)\cos(b)+\sin(a)\cos(b)]+[\cos(a)\sin(b)-\cos(a)\sin(b)]$

$=2\sin(a)\cos(b)+0$

$=2\sin(a)\cos(b)$

So this implies:

$\sin(a+b)+\sin(a-b)=2\sin(a)\cos(b)$

Divide both sides by 2:

$\frac{\sin(a+b)+\sin(a-b)}{2}=\sin(a)\cos(b)$

By the symmetric property we can write:

$\sin(a)\cos(b)=\frac{\sin(a+b)+\sin(a-b)}{2}$

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3 years ago

Two years ago, Paul bought $350 worth of stock in a cell phone company. Since then the value of his stock has been increasing at

zalisa [80]

Answer: $384.13 ( rounded)

Original number: $384.125

Step-by-step explanation:

Find 9.75% of Paul's original stock, to find out how much it increased.

9.75*350/100=34.125

Add $34.125 to his original stock.

$384.125

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3 years ago

I need help I will give brainliest

Klio2033 [76]

Answer:

4.4 × 10 ^− 6

Step-by-step explanation:

Brainliest please :)?

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kherson [118]

Answer:

I think The White one is 3.61 and the purple is 10....

Step-by-step explanation:

we just divide the shapes into separate and find the area of each separate shape

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3 years ago

What is the value of x.

Neporo4naja [7]

Answer:

Without any question we cant signify it !!!!!!????

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