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Talja [164]
3 years ago
11

The polynomial x3 + 4x2 – 9x – 36 has 4 terms. Use factoring by grouping to find the correct factorization.

Mathematics
2 answers:
adell [148]3 years ago
6 0
<span>x3 + 4x2 – 9x – 36

= x^2( x + 4) - 9(x + 4)

= (x + 4)(x^2 - 9)

= (x + 4)(x - 3)(x + 3)</span>
lesya [120]3 years ago
5 0
<span>x^3 + 4x^2 – 9x – 36</span>
Factor out common terms in the first two terms and the last two terms
x^2 (x + 4) - 9 (x + 4)
factor out the common term (x + 4)
(x + 4) (x^2 - 9)
Rewrite
(x + 4) ( x^2 - 3^2) 
Use the difference of squares
(x + 4) (x + 3) (x - 3)

Hope this helps :)

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If point B is at 0, then what are the values of points A and C?
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Since the line is not scaled, then how do we know for sure.  But, we do know that point A is the opposite of point C.   For example, if C = 150, then A = -150

Step-by-step explanation:

Since the line is not scaled, then how do we know for sure.  But, we do know that point A is the opposite of point C.   For example, if C = 150, then A = -150

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5 0
4 years ago
The difference of two numbers if four and their product is 60
cricket20 [7]

Answer:

The two numbers are 10 and 6.

Step-by-step explanation:

Let's begin by calling these two numbers x and y, and setting up a system of equations.

x-y=4

x*y=60

Now, you can rearrange the first equation to find the value of x expressed through y.

x=y+4

Now, you can substitute this into the second equation.

(y+4)*y=60

y^2+4y=60

y^2+4y-60=0

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Hope this helps!

4 0
3 years ago
A collection of nickels and quarters are worth $2.85. There are 3 more nickels than quarters. How many nickels and quarters are
Alex777 [14]

Answer:

nickels = 12

quarters = 9

Step-by-step explanation:

Let number of quarters be "q", and

number of nickels be "n"

Nickels are worth $0.05 and Quarters are worth $0.25

Since all of them are worth 2.85, we can write:

0.25q + 0.05n = 2.85

Also, we know, there are 3 more nickels than quarters, so we can write:

n = 3 + q

Now, we can substitute equation 2 into equation 1 to get:

0.25q + 0.05n = 2.85\\0.25q + 0.05(3+q) = 2.85\\0.25q+0.15+0.05q=2.85

Now, we solve for q:

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There are 9 quarters.

We know n = 3 + q

So,

n = 3 + 9

n = 12

There are 12 nickels

7 0
3 years ago
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