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VMariaS [17]
3 years ago
5

Factor the polynomial by grouping : x^3+5x^2-6x-30

Mathematics
1 answer:
andrew-mc [135]3 years ago
4 0

The idea is to pair up the terms, factor each sub-group, and then pull out the overall GCF to fully factor.

x^3+5x^2-6x-30

(x^3+5x^2)+(-6x-30)

x^2(x+5)+(-6x-30)

x^2(x+5)-6(x+5)

(x^2-6)(x+5)

-------------

Answer: (x^2-6)(x+5)

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Multiply or divide as indicated <br> b^3 x b^-3
Andru [333]

The domain: b\neq0

Method 1.

Use\ a^n\cdot a^m=a^{n+m}\\\\b^3\cdot b^{-3}=b^{3+(-3)}=b^{3-3}=b^0=1

Method 2.

Use\ a^{-n}=\dfrac{1}{a^n}\\\\b^3\cdot b^{-3}=b^3\cdot\dfrac{1}{b^3}=\dfrac{b^3}{b^3}=1

7 0
3 years ago
Solve 3 x - 9 x + 7 - 3 = -8.
erik [133]

Answer: x=2

3x−9x+7−3=−8

Step 1: Simplify both sides of the equation.

3x−9x+7−3=−8

3x+−9x+7+−3=−8

(3x+−9x)+(7+−3)=−8

−6x+4=−8

−6x+4=−8

−6x+4−4=−8−4

−6x=−12

−6x

−6

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−12

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3 0
3 years ago
Hi! I was wondering, how do you find the rise and the run of slopes? <br><br> I am new to it.
inna [77]

Answer:

M = (Y2 - Y1) / (X2 - X1)

Step-by-step explanation:

First, look at a graph of a line and find two points, 1 and 2. You can use any two points on a line. The slope will be the same between any two points on a straight line.

Note the X and Y value for each of the points.

Now we'll designate the X and Y value for points 1 and 2. We'll use subscripts to identify them in the slope formula.


Hope this helps!


4 0
3 years ago
It takes 48 minutes for Mickey to walk 6 laps around the park. How many minutes does it take Mickey to walk 1 lap?
Feliz [49]

Since it takes 48 minutes to walk 6 laps, you can divide 48 by 6 to get how long it takes for him to walk one lap. Mickey will take 8 minutes to walk 1 lap.

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6 0
3 years ago
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Pavel [41]

Answer:

48/b

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7 0
3 years ago
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