All categories

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)

You might be interested in

Plot the four points on the number line below -1/3 1 2/3 2/3 1 1/3

navik [9.2K]

Answer:

Step-by-step explanation:

6 0

2 years ago

Two consecutive whole numbers are n-1 and n

Orlov [11]

a. n-(n - 1) = 1

b. n( n - 1) = n² - n

c. (n - 1) + n = 2n - 1

d. (n - 1) + n = 2n - 1

<h3>Solution:</h3>

General Rule for Equation Solving

Remove parentheses and combine like terms to simplify each side of the equation.

To isolate the variable term on one side of the equation, use addition or subtraction.

To find the variable, use multiplication or division.

Given two consecutive numbers , (n - 1) , n

simplifying :

n - (n - 1)

= n -1(n - 1)

= n - n + 1

= 1

multiplying :

n( n -1)

= n² - n

simplifying :

(n-1) + n

= n - 1 + n

= 2n -1

by adding two numbers :

(n - 1) + n

= n -1 + n

= 2n - 1

To learn more about equations refer to :

brainly.com/question/22688504

#SPJ13

5 0

9 months ago

EXAMPLE 5 If F(x, y, z) = 4y2i + (8xy + 4e4z)j + 16ye4zk, find a function f such that ∇f = F. SOLUTION If there is such a functi

Valentin [98]

If there is such a scalar function f, then

$\dfrac{\partial f}{\partial x}=4y^2$

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}$

$\dfrac{\partial f}{\partial z}=16ye^{4z}$

Integrate both sides of the first equation with respect to x :

$f(x,y,z)=4xy^2+g(y,z)$

Differentiate both sides with respect to y :

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}$

$\implies\dfrac{\partial g}{\partial y}=4e^{4z}$

Integrate both sides with respect to y :

$g(y,z)=4ye^{4z}+h(z)$

Plug this into the equation above with f , then differentiate both sides with respect to z :

$f(x,y,z)=4xy^2+4ye^{4z}+h(z)$

$\dfrac{\partial f}{\partial z}=16ye^{4z}=16ye^{4z}+\dfrac{\mathrm dh}{\mathrm dz}$

$\implies\dfrac{\mathrm dh}{\mathrm dz}=0$

Integrate both sides with respect to z :

$h(z)=C$

So we end up with

$\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}$

7 0

2 years ago

for every weekend that mia does her household chores her mother gives her $9.for how many weekends does mia have to do her chore

allsm [11]

So, we'll say Mia gets $4.50 a day, since a standard weekend is two days, therefore adding up to $9 a weekend. So if Mia were to do her chores for 4 weekends, she'd have a total of $36 but not $40. So if she were to work an extra weekend, so 5 weekends, she'd have a total of $45. So you can say 5 weekends in order to earn more than $40.

7 0

2 years ago

Find the range of the graph

Alex

Answer:

4,-7 = 11

and

6, -9 = 15

3 0

2 years ago