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3 years ago

Factor –8x3 – 2x2 – 12x – 3 by grouping. What is the resulting expression?

Mathematics

2 answers:

KATRIN_1 [288]3 years ago

7 0

Answer: $(4x+1)(-2x^2-3)$

Step-by-step explanation:

To factor the given polynomial $-8x^3-2x^2-12x-3$

First group the first two terms and the last two terms together respectively.

i.e. $(-8x^3-2x^2)+(-12x-3)$

Take out GCF from each binomial, we get

$-2x^2(4x+1)-3(4x+1)$

Now, factor out the common binomial, we get the resulting expression as

$=(4x+1)(-2x^2-3)$

xenn [34]3 years ago

3 0

Easier if you first factor out the " - " sign. Then you have:

–8x3 – 2x2 – 12x – 3 = -1(8x3 + 2x2 + 12x +3).

Start with 12 + 3. This factors to 3(4x+1). Next, focus on 8x^3+2x^2. This factors to 2x^2*(4x+1). So, the binomial factor 4x+1 is common to the first two terms and the second two terms. We get: (4x+1) ( 2x^2 + 3).

Now put the "-" sign back in, and we get - (4x+1) ( 2x^2 + 3) (answer)

Please note: Use "^" to denote exponentiation. 2x2 is meaningless; it should be 2x^2.

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3 years ago

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3 years ago

The dance committee of Pine Bluff Middle School earns \$72$72dollar sign, 72 from a bake sale and will earn \$4$4dollar sign, 4

Brut [27]

Answer:

The correct answer is 72 + 4 × x $\geq$ 400.

Step-by-step explanation:

The dance committee of Pine Bluff Middle School earns $72 from a bake sale and will earn $4 for each ticket they sell to the Spring Fling dance.

The dance will cost $400.

Let x number of tickets the committee could sell.

Total money earned is 72 + 4 × x.

The committee should have some left over money also after spending for the dance which costs $400.

Thus the inequality to determine the number of tickets the committee could sell to have money left over after they pay for this year's dance is given by,

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3 years ago

Read 2 more answers

40 PTS if u do this correctly! Algebra 1 Do #'s 4,5,6,7,8,9,10,12,13,14

Likurg_2 [28]

4.)
n^2+4n=32
--------------------------
Subtract 32 from each side
n^2+4n-32=32-32
n^2+4n-32=0
--------------------------
Factor left side of equation
(n-4)(n+8)=0
--------------------------
Now set the factors to equal 0
n-4=0
or/and
n+8=0
--------------------------
n=4 and/or n=-8
====================================================================
5.)
t^2-26t=56
Subtract 56 from each side
t^2-26t-56=56-56
t^2-26t-56=0
----------------------------
Factor left side
(t+2)(t-28)=0
--------------------------
Set factors equal to 0
t+2=0
or/and
t-28=0
t = -2 and/or t = 28
===================================================================
As you may have noticed you need to subtract to get 0 on the right side, then you factor the left side and then switch the symbols from the numbers. Negative to Positive and Positive to Negative. I'll keep provided the work for the next 3 or 4 questions
===================================================================
6.)
z^2-14z=72
----------------
Subtract 72 from each side
z^2-14z-72=72-72
z^2-14z-72=0
----------------
Factor left side
(z+4)(z-18)=0
----------------
Set factors equal to 0
z+4=0 or z-18=0
Invert
z = -4 and z = 18
===================================================================
7.)
80+a^2=18a
-------------------------
Simplify
a^2+80=18a
------------------------
Subtract 18a from each side
a^2+80-18a=18a-18a
a^2-18a+80=0
------------------------
Factor left side
(a-8)(a-10)=0
-----------------------
Set factors to equal 0
a-8=0 or a-10=0
Invert
a = 8 and a = 10
===================================================================
8.)
u^2=16u+36
--------------------------
Subtract 16u+36 from both sides.
u^2-(16u+36)=16u+36-(16u+36)
u^2-16u-36=0
--------------------------
Factor left side
(u+2)(u-18)=0
--------------------------
Set factors to 0
u+2=0 or u-18=0
Invert
u = -2 and u = 18
====================================================================
9.)
3h^2+6h=105
--------------------------
Subtract 105 from each side
3h^2+6h-105=105-105
3h^2+6h-105=0
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Factor left side
3(h-5)(h+7)=0
--------------------------
Set factors to equal 0
h-5=0 or h+7=0
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===================================================================
10.)
a^2+14a=-45
---------------------------
Subtract -45 from each side
a^2+14a-(-45)=-45-(-45)
a^2+14a+45=0
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Factor left side
(a+5)(a+9)=0
-------------------------
Set factors to equal 0
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===================================================================
12.)
w=5 and w=6
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13.)
k=6 and k=-9
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14.)
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4 years ago

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Dima020 [189]

Answer
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Explanation

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3 years ago