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3 years ago

Use the grouping method to factor this polynomial completely. 4x3 + 8x2 + 3x+6

Mathematics

2 answers:

Vilka [71]3 years ago

5 0

Answer:

(x + 2)(4x^2 + 3)

Step-by-step explanation:

The first two terms factor as follows: 4x^2(x + 2).

The last two factor as follows: 3(x + 2).

Thus, (x + 2) is a factor of 4x3 + 8x2 + 3x+6:

4x^2(x + 2) + 3(x + 2), or:

(x + 2)(4x^2 + 3).

Note that 4x^2 + 3 can be factored further, but doing so yields two complex roots.

kati45 [8]3 years ago

5 0

Answer: (x + 2)(4x^2 + 3)

Step-by-step explanation:

4x3 + 8x2 + 3x+6 becomes 4x^2(x + 2) + 3(x + 2) and can also be written as (x + 2)(4x^2 + 3).

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Now you know the answer as well as the formula. Hope this helps, have a BLESSED AND WONDERFUL DAY!

- Cutiepatutie ☺❀❤

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Which is the equation of the graphed line written in standard form? y = x x – 1/2y = 0 x – y = 0 y =1/2x

AysviL [449]

The standard for of this equation is x – y = 0

Firstly, options A and D are not in standard form, so they are not options.

To decided between B and C, we choose a point on the line and see if it works. For example, we'll use (2, 2).

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3 years ago

What is the answer for this question? number 5 and 6

Likurg_2 [28]

Answer:

The answer to question 5 is x = 23. The answer to question 6 is x = 17.

Step-by-step explanation:

Two Key Points:

- Angles on a straight line always add up to 180°

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I have attached a picture showing how to do the two problems. I hope this helps!

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3 years ago

Describe how the graph of each function differs from the graph of f(x)=|x|. Then determine the domain and range.

Brilliant_brown [7]

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B. We can stretch the graph of the function $f(x)=|x|$ in the y-direction by multiplying the whole function by a constant C, such that $C>1.$ Since $4>1,$ , the graph of the function $g(x)= 4|x-3|$ is obtained from the graph of the function $f(x)=|x|$ by compression in the y-direction and translation 3 units to the right.

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7 0

3 years ago

Please Help. Thank you

jeyben [28]

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8 0

3 years ago

(25 points)

Licemer1 [7]

Here, y = -15 with x = -20
LCM of 15 & 20 is 60, so divide 15 & 20 from 60,
60/15 = 4 & 60/20 = 3

Now, multiply the results with intial values,
4y = 3x
y = 3/4 x

When y = 12,
x = 12 * 4/3
x = 48 / 3
x = 16

In short, Your Answer would be 16

Hope this helps!

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3 years ago