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mariarad [96]
3 years ago
9

What is the greatest common factor of the terms in the polynomial

Mathematics
1 answer:
ruslelena [56]3 years ago
7 0

Answer:

4x^2

Step-by-step explanation:

The greatest common factor is the greatest number that can divide the terms. The greatest number that can divide each term is 4, and the greatest power of x that can divide each term is x^2. This is because it can't be any number greater than 4 since that number would never be able to divide into 4. This is also the reason why x^2 is the greatest power possible. It cannot be greater than anything divisible by itself. Thus, you multiply 4 by x^2 and the answer is 4x^2.

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Solve by factoring:<br><br> 5x^2 + 19x + 12 = 0
Mariulka [41]

When solving polynomial equations, first set the equation

equal to zero, then check for a Greatest Common Factor.

Since there is no greatest common factor, this will make life a

little bit more difficult because we will have to factor the trinomial.

First, find all possible factors for constant term.

I have listed these in red below.

Make sure to reverse the factors since in each binomial,

the first term is different so we need to reverse the factors.

The factors of 5x² will just be 5x and z.

After finding factors for the constant and the leading

coefficient for your trinomial, we can eliminate some factors.

If you have an odd coefficient on the middle term,

you can eliminate any pairs of even factors.

So the group I crossed out in purple below will be eliminated.

Another strategy is to use factors a little closer together.

So I would go with the 4 and 3 group.

Surely enough, our trinomial does factor with the 4 and 3.

Now set the factored trinomial equal to 0.

Then use zero product property and you have your answer.

5 0
3 years ago
Read 2 more answers
Which linear equation has no solution? 5x+12=5x−7
soldier1979 [14.2K]

Answer:

Trying to solve this leads to an absurdity, so No Solution.

Step-by-step explanation:

5x+12=5x−7

Lets attempt to solve:

Subtract 5x from both sides

5x - 5x + 12 = 5x - 5x - 7

0 + 12 = 0 - 7

12 = -7

This is absurd so there is no solution.

6 0
2 years ago
Last year, there were b pies baked for the bake sale. This year, there were 211 pies baked. Using b, write an expression for the
Marina86 [1]

Answer:

211+b=x

Step-by-step explanation:

8 0
3 years ago
Ben is three times as old as Samantha, who is two years older than half of Michel's age. If Michel is 12. How old is Ben?
Soloha48 [4]

Answer:

36

Step-by-step explanation:

first is half of michels age, 6, then multiply it by 2, which is samanthas age, and then multiply that by 3, which is bens age.


3 0
2 years ago
A quality-assurance inspector periodically exam-ines the output of a machine to determine whether it is properly adjusted. When
Stolb23 [73]

Answer:

Step-by-step explanation:

From the given information;

The null hypothesis & alternative hypothesis:

\mathbf{H_o:\mu = 2}  \\ \\  \mathbf{H_1 : \mu \ne 2}

The test statistics can be computed as:

Z = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}}

Z = \dfrac{2.025- 2}{\dfrac{0.07}{\sqrt{35}}}

Z = \dfrac{0.025}{\dfrac{0.07}{\sqrt{35}}}

Z =2.11

The p-value = 2(Z > 2.11)  since this is a two-tailed test

The p-value = 2( 1 - Z < 2.11)

The p-value = 2 (1 -0.9826)

The p-value = 2 (0.0174)

The p-value = 0.0348

Decision Rule: To reject the \mathbf{H_o}  if the p-value is less than \mathbf{H_o}

Conclusion: We fail to reject \mathbf{H_o} and conclude that the population mean = 2, thus the machine is properly adjusted.

4 0
2 years ago
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