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Scilla [17]
3 years ago
10

(4). Simplifying polynomials, help pls:) brainliest involved

Mathematics
1 answer:
Roman55 [17]3 years ago
5 0

Answer:

Explanation:

To simplify a polynomial, we have to do two things: 1) combine like terms, and 2) rearrange the terms so that they're written in descending order of exponent.

First, we combine like terms, which requires us to identify the terms that can be added or subtracted from each other. Like terms always have the same variable (with the same exponent) attached to them. For example, you can add 1 "x-squared" to 2 "x-squareds" and get 3 "x-squareds", but 1 "x-squared" plus an "x" can't be combined because they're not like terms.

Let's identify some like terms below.

f(x)=−4x+3x2−7+9x−12x2−5x4

Here you can see that -4x and 9x are like terms. When we combine (add) -4x and 9x, we get 5x. So let's write 5x instead:

f(x)=5x+3x2−7−12x2−5x4

Let's do the same thing with the x-squared terms:

f(x)=5x+3x2−7−12x2−5x4

f(x)=5x−9x2−7−5x4

Now there are no like terms left. Our last step is to organize the terms so that x is written in descending power:

f(x)=−5x4−9x2+5x−7

Step-by-step explanation:

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Guided Practice
elena-s [515]

Answer:

see below

Step-by-step explanation:

The experimental probability of heads is

P( heads) = 28/50 = 14/25

The theoretical probability is

P (heads) =1/2

Getting a common denominator for the experimental

25/50

comparing the experimental and the theoretical

28/50 > 25/50

experimental > theoretical

4 0
3 years ago
Find the distance between each pair of points
dolphi86 [110]

Answer: the correct answer is 20

Step-by-step explanation:

The formula for determining the distance between two points on a straight line is expressed as

Distance = √(x2 - x1)² + (y2 - y1)²

Where

x2 represents final value of x on the horizontal axis

x1 represents initial value of x on the horizontal axis.

y2 represents final value of y on the vertical axis.

y1 represents initial value of y on the vertical axis.

From the graph given,

x2 = - 7

x1 = 5

y2 = - 7

y1 = 9

Therefore,

Distance = √(- 7 - 5)² + (- 7 - 9)²

Distance = √(- 12²) + (- 16)²

= √(144 + 256) = √400

Distance = 20

5 0
3 years ago
How to divide 400 by 40
ipn [44]

Answer:

10

Step-by-step explanation:

because 40 can go into 400 ten times

also if you do it on long division you will do 10 times 40 is 400

7 0
2 years ago
Contains the origin and is parallel to the line 3x-2y=12
scoray [572]
Two parallel lines have the same slope.
the slope of the given line is: -2y=-3x+12
y=3/2x -6
so the slope is 3/2
the new line passes (0,0), so the equation is simply: y= \frac{3}{2} x
6 0
3 years ago
A school principal claims the graduation rate at a school is 96%. Molly, a student at this school, takes a random sample of stud
Crazy boy [7]

Answer:

No, because the interval contains 0.96.

Step-by-step explanation:

edge2021

6 0
2 years ago
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