Mathematics, 29.07.2019 07:00 chamillelynn

How would you factor 4x^3 + 2x^2 + 2x? explain in steps not just give me the straight answer.

Answers: 1

Show answers

Answers

Answer from: kidyugey

$\bf 4x^3+2x^2+2x\implies 2x(2x^2+x+1)$

so in short, the only factoring doable to it, without any complex factors, is that of taking the common factor of 2x.

now, the trinomial of 2x²+x+1, will not give us any "real roots", just complex or "imaginary" ones.

if you have already covered the quadratic formula, you could test with that, or you can also check that trinomial's discriminant, and notice that it will give you a negative value.

$\bf \begin{array}{llcccll}
& 2 x^2& +1 x& +1\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad \qquad 1^2-4(2)(1)
\\\\\\
discriminant\implies b^2-4ac=
\begin{cases}
0&\textit{one solution}\\
positive&\textit{two solutions}\\
negative&\textit{no solution}
\end{cases}$

Answer from: GLASGOWANASTASIA

2x(2x^2+x+1)

Step-by-step explanation:

We have been given an expression and we are asked to find factor out our given expression.

4x^3+2x^2+2x

To factor our given expression we need to factor out the greatest common factor of each term of our given expression.

We can rewrite our given expression as:

$(2\cdot 2\cdot x\cdot x\cdot x)+(2x\cdot x)+2x$

We can see that the greatest common factor of our given expression is 2x.

Upon factoring out 2x from our given expression we will get,

$2x(2\cdot x\cdot x+x+1)$

2x(2x^2+x+1)

Therefore, the factored form of our given expression is 2x(2x^2+x+1) .

Answer from: Quest

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

Which construction does the image below demonstrate? 1. an equilateral triangle circumscribed abou

Answer from: Quest

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

when multiplying or dividing by a negative on both sides you have to flip the inequality sign. this rule only applies to multiplying or dividing by a negative number in inequality equations. this rule is really important.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

5c+2< 27 i really do not understand this.

Another question on Mathematics

Mathematics, 20.06.2019 18:04

Point $(x,y)$ is randomly picked from the rectangular region with vertices at $(0,,,2010),$ and $(0,2010)$. what is the probability that $x > 7y$? express your answer as a common fraction.

Answers: 1

Answer

Mathematics, 21.06.2019 20:30

The distance of a chord from the centre of a circle is 12cm and the lenght of the chord is 10cm. find the radius of the circle

Answers: 1

Answer

Mathematics, 22.06.2019 01:00

Is the ordered pair (-10, 7) a solution to the equation y = 17 – x? yes or no

Answers: 1

Answer

Mathematics, 22.06.2019 02:00

Answer asap! urgent! will give brainliest!