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uranmaximum [27]
3 years ago
7

Which linear expression is a factor of the polynomial function f(x) = x3 + 2x2 − x − 2?

Mathematics
1 answer:
likoan [24]3 years ago
4 0
The function
<span>f(x) = x3 + 2x2 − x − 2
is a trinomial and it is expected that it has three factors corresponding to the three roots. The possible roots could 1, -1, 2, or -2. Trying out 1
f(1) = 1 + 2 - 1 - 2 = 0
According to the remainder theorem (x - 1) is a factor. By doing synthetic division
<u>1 </u>| 1 2 -1 -2
<u>        1  3  2
</u>     1  3 2  0
f(x) = (x - 1)(x2 + 3x + 2)
which can further be factored into
f(x) = (x -1)(x +1)(x + 2)
The three factors are
x-1
x+1
x+2
which are all linear expressions</span>
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Simplify 3 upon 10 + 4 upon 5<br><br> 3^10 + 4^5​
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Answer

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explanation

3^10 + 4^5 = 60073
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Construct a grouped frequency distribution table for the ages of 30 teachers in a secondary school as recorded below : 26, 29, 2
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Answer:

I think you just put them In order

Step-by-step explanation:

And find the medium

3 0
3 years ago
Solve for the missing coordinates: ( x, -7) (-6,-1) with a slope of -2/3
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7 0
3 years ago
Rebecca and dan are biking in a national park for three days they rode 5 3/4 hours the first day and 6 4/5 hours the second day
likoan [24]

Answer:

Rebecca and Dan need to ride 7\frac{9}{20}\ hrs. on the third day in order to achieve goal of biking.

Step-by-step explanation:

Given:

Goal of Total number of hours of biking in park =20 hours.

Number of hours rode on first day = 5\frac34 \ hrs.

So we will convert mixed fraction into Improper fraction.

Now we can say that;

To Convert mixed fraction into Improper fraction multiply the whole number part by the fraction's denominator and then add that to the numerator,then write the result on top of the denominator.

5\frac34 \ hrs. can be Rewritten as \frac{23}{4}\ hrs

Number of hours rode on first day = \frac{23}{4}\ hrs

Also Given:

Number of hours rode on second day = 6\frac45 \ hrs

6\frac45 \ hrs can be Rewritten as \frac{34}{5}\ hrs.

Number of hours rode on second day = \frac{34}{5}\ hrs.

We need to find Number of hours she need to ride on third day in order to achieve the goal.

Solution:

Now we can say that;

Number of hours she need to ride on third day can be calculated by subtracting Number of hours rode on first day and Number of hours rode on second day from the Goal of Total number of hours of biking in park.

framing in equation form we get;

Number of hours she need to ride on third day = 20-\frac{23}{4}-\frac{34}{5}

Now we will use LCM to make the denominators common we get;

Number of hours she need to ride on third day = \frac{20\times20}{20}-\frac{23\times5}{4\times5}-\frac{34\times4}{5\times4}= \frac{400}{20}-\frac{115}{20}-\frac{136}{20}

Now denominators are common so we will solve the numerator we get;

Number of hours she need to ride on third day =\frac{400-115-136}{20}=\frac{149}{20}\ hrs \ \ Or \ \ 7\frac{9}{20}\ hrs.

Hence Rebecca and Dan need to ride 7\frac{9}{20}\ hrs. on the third day in order to achieve goal of biking.

8 0
3 years ago
Please help me i'll give 20 points to whoever helps me answer all 4 of them and brainly
Brilliant_brown [7]

Answer:

G - number of arrangements

F. the amount of her allowance

B. y = x

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7 0
3 years ago
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