Explain how you could use a number line to determine -5 -(-3)<br><br> What is the difference?

Find the zeros of the following polynomial.<br> 3x3 + 9x2 - 12x

Arada [10]

x = 4
x = -1
x = 0

Equation at the end of step 1 :

((3 • (x3)) - 32x2) - 12x = 0
Step 2 :

Equation at the end of step 2 :

(3x3 - 32x2) - 12x = 0
Step 3 :

Step 4 :

Pulling out like terms :

4.1 Pull out like factors :

3x3 - 9x2 - 12x = 3x • (x2 - 3x - 4)

Trying to factor by splitting the middle term

4.2 Factoring x2 - 3x - 4

The first term is, x2 its coefficient is 1 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -4

Step-1 : Multiply the coefficient of the first term by the constant 1 • -4 = -4

Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .

-4 + 1 = -3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
x2 - 4x + 1x - 4

Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-4)
Add up the last 2 terms, pulling out common factors :
1 • (x-4)
Step-5 : Add up the four terms of step 4 :
(x+1) • (x-4)
Which is the desired factorization

8 0

2 years ago

Read 2 more answers

A dog sits at a corner of a square with side length 44 meters. the dog runs 10 meters along a diagonal toward the opposite corne

wlad13 [49]

Refer to the figure given below while reading the solution.

Suppose the dog reaches position A when traveled 10 m diagonally towards the opposite side.

And then position B when traveled 5 m towards the right turning 90°.

We can observe that APC is a right triangle with legs of equal length AC. And the coordinates of the point A is (AC, AC).

Also we can observe that APB is a right triangle with legs of equal length AD. Then the coordinates of the point D is (AC, AC-AD).
Hence, the coordinates of B will be (AC+AD, AC-AD).

Now, we since we have the coordinates we can calculate the shortest distances of B from each of the sides.

The shortest distance of B from PQ = AC-AD
The shortest distance of B from SR = 44-(AC-AD)
The shortest distance of B from SP = AC+AD
The shortest distance of B from RQ = 44-(AC+AD)

So, the average of the shortest distances of B from each side is $\frac{(AC-AD)+44-(AC-AD)+(AC+AD)+44-(AC+AD)}{4}=\frac{44+44}{4}=22$

Hence, the average of the shortest distance of B from each side is 22 m

Learn more about average here-

brainly.com/question/24057012

#SPJ10

7 0

1 year ago

What is 3 3/4×2 4/5 in simplest form

Archy [21]

Answer:

10.5 = 10 1/2

Step by step:

(3 3/4)(2 4/5)

= 15/4(2 4/5)

=15/4(14/5)

=21/2

=10 1/2

4 0

2 years ago

the total cost (c) in dollars of renting a car for n days is given by the inequality c >125 +50n. what is the maximum number

Paraphin [41]

H. 6 days
hope this helps!

4 0

2 years ago

In an international film festival, a penal of 11 judges is formed to judge the best film. At last two films FA and FB were consi

valentina_108 [34]

Answer:

The answer is "0.4329 ".

Step-by-step explanation:

P( three in favor of FA)

Select 3 out of 6 FA supporters then select 2 out of 5 FB supportive judges

$=\frac{^{6}_{C_{3}}\times ^{5}_{C_{2}}}{^{11}_{C_{5}}}\\\\=\frac{\frac{6!}{3!(6-3)!}\times \frac{5!}{2!(5-2)!}}{\frac{11!}{5!(11-5)!}}\\\\=\frac{\frac{6!}{3! \times 3!}\times \frac{5!}{2! \times 3!}}{\frac{11!}{5! \times 6!}}\\\\=\frac{\frac{6 \times 5 \times 4 \times 3!}{3 \times 2 \times 1\times 3!}\times \frac{5 \times 4 \times 3!}{2 \times 1 \times 3!}}{\frac{11 \times10 \times 9 \times 8 \times 7 \times 6! }{5 \times 4 \times 3 \times 2 \times 1 \times 6!}}\\\\$

$=\frac{ (5 \times 4) \times(5 \times 2)}{(11 \times 3 \times 2 \times 7 )}\\\\=\frac{ 20 \times 10 }{(11 \times 42)}\\\\=\frac{ 200 }{462}\\\\=\frac{100 }{231}\\\\=0.4329$

6 0

2 years ago

Explain how you could use a number line to determine -5 -(-3) What is the difference?