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Zanzabum
3 years ago
7

Create a factorable polynomial with a GCF of 2. Rewrite that polynomial in two other equivalent forms. Explain how each form was

created.
Mathematics
1 answer:
GalinKa [24]3 years ago
5 0
<span>The GCF is the greatest common factor of 2 or more numbers or polynomials.
</span><span>Start with the factors: x, x + 1, x - 2 
Now multiply them together.
</span>x(x+1)(x−2)<span>=(x2+x)(x−2)</span>
<span>=x3−2x2+x2−2x</span>
<span>=x3−x2−2x
</span>Our polynomial is: <span>x3−x2−2x</span>
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Find AD. Show how you got your answer.
stealth61 [152]
Notice the picture below
the AD line is a bisector, cutting the 36 degrees A in half,
18 and 18 degrees each half

notice the tickmarks, the triangle is an isosceles,
if those two sides are equal, so are the angles they make
down below with the base

now, the base is 8, AD is bisecting that too, to 4 and 4

now, using the Law of Sines

\bf \textit{Law of sines}&#10;\\ \quad \\&#10;\cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c}\\\\&#10;----------------------------\\\\&#10;\cfrac{sin(18^o)}{4}=\cfrac{sin(72^o)}{\overline{AD}}\implies \overline{AD}=\cfrac{4\cdot sin(72^o)}{sin(18^o)}

keep in mind, the angles are in degrees, so, when taking the sines, make sure your calculator is in Degree mode

4 0
3 years ago
Find the solution set of the inequality:<br><br> 82 + 2 &gt; 34<br><br> SOMEONE PLS HELP
Romashka [77]

Answer:

82+2>34

84>34

True

I hope this helps :)

6 0
3 years ago
-25+t=-44 solve using addition principle. The solution is t=
love history [14]

Explanation:

First, add by 25 both sides of an equation.

-25+t+25=-44+25

Then, simplify by equation and add/subtract by the numbers.

44-25=19

*The answer must be have a negative sign.

\boxed{t=-19}

Hope this helps!

Thank you!

Have a great day!

3 0
3 years ago
Read 2 more answers
Here you go please show your work
ValentinkaMS [17]
A. F(x)= 3x+6 =12
3x = 12-6
3x = 6
x=2

B. x=10, f(x)= 3*10+6 = 30+6 = 36

C. f(x) = 3x+6 = 6
3x = 6-6
3x=0
x=0

D. x=5, f(x) = 3x+6 = 3*5+6 = 15+6 = 21
5 0
3 years ago
URGENT HELP PLEASE!
Vaselesa [24]

Answer:

(a) x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}

(b) x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}

Step-by-step explanation:

It is given that 0\leq x\leq 2\pi.

(a)

\sqrt{2}\sin 2x=1

\sin 2x=\dfrac{1}{\sqrt{2}}

\sin 2x=\dfrac{\pi}{4}

2x=\dfrac{\pi}{4},\dfrac{3\pi}{4},\dfrac{9\pi}{4},\dfrac{11\pi}{4}     [\because \sin x=\sin y\Rightarrow x=n\pi+(-1)^ny]

x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}

(b)

\csc^2 x-\csc x-2=0

\csc^2 x-2\csc x+\csc x-2=0

\csc x(\csc x-2)+1(\csc x-2)=0

(\csc x+1)(\csc x-2)=0

\csc x=-1\text{ or }\csc x=2

\sin x=-1\text{ or }\sin x=\dfrac{1}{2}         [\because \sin x=\dfrac{1}{\csc x}]

x=\dfrac{3\pi}{2}\text{ or }x=\dfrac{\pi}{6},\dfrac{5\pi}{6}

Therefore, x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}.

5 0
3 years ago
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