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4 years ago

Use the grouping method to factor the polynomial below completely. 3x^3 + 9x^2 + 4x + 12

Mathematics

1 answer:

Alex4 years ago

4 0

Answer:

$(x+3)(3x^{2}+4)$

Step-by-step explanation:

$3x^{3}+9x^{2}+4x+12\\3x^{2}(x+3)+4(x+3)\\(x+3)(3x^{2}+4)$

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Which is a reasonable first step that can be used to solve the equation 2(x+6)=3(x-4)+5

Lunna [17]

Parenthesis
i think,
or distributive property

3 0

4 years ago

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If anyone could please help fast i will mark as brainiest

lisov135 [29]

Answer:

$\large\boxed{x^{36}}$

Step-by-step explanation:

Consider the properties:

$\boxed{(x^a)^b=x^{a\cdot b}}$

$\boxed{x^a \cdot x^b=x^{a+b}}$

$\therefore (x^3)^6 \cdot (x^2)^9= x^{18} \cdot x^{18}= x^{36}$

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4 years ago

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almond37 [142]

The relationship between the number of pentagons and the perimeter will be

$x=1,y=15,(x,y)=(1,15)\\x=2,y=29,(x,y)=(2,29)\\x=3,y=43,(x,y)=(3,43)$

From the diagram in the question, each side of a pentagon has length $3units$ .

Also, each time another pentagon is attached, a side is removed.

Using these observations, we can create a relationship between the number of pentagons, $x$ , and the perimeter, $y$ , as follows

For $x=\text{number of sides}=1$

$y=\text{perimeter}=3\times 5=15units$

For $x=2$

$y=3\times5+3\times5-1\\=15+15-1\\=29units$

For $x=3$

$y=3\times5+3\times5-1+3\times5-1\\=3\times5+3\times5+3\times5-1-1\\=15+15+15-2=43units$

The relationship will be

$x=1,y=15,(x,y)=(1,15)\\x=2,y=29,(x,y)=(2,29)\\x=3,y=43,(x,y)=(3,43)$

Learn more about perimeter here: brainly.com/question/17756657

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3 years ago

If 1 pound = 16 ounces, how many pounds are<br><br> in 435 ounces?<br><br> please help lol

BabaBlast [244]

Answer:

27lbs

Step-by-step explanation:

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3 years ago

Please answer will reward with brainliest if you give me the answer and an explanation.

elena-s [515]

Answer:

Root 37

Step-by-step explanation:

All of the others are square numbers so they have no decimal numbers. Root 37 = 6.08...... making it an irrational number.

8 0

3 years ago