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aivan3 [116]
2 years ago
16

Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Create a sample pr

oblem that has a binomial which IS a factor of the polynomial being divided, and another problem that has a binomial which is NOT a factor of the polynomial being divided.
Mathematics
1 answer:
s2008m [1.1K]2 years ago
4 0
The divisor is a factor if you get the remainder  zero after division.

<span>Just as you know that 4 is a factor of 16 because 16/4 has zero remainder. </span>

<span>For example, </span>

<span>(2x-1)(x+2)(3x+7) / (x+2) </span>
<span>= (6x^3+23x^2+15x-14)/(x+2) </span>

<span>we know that the remainder is zero, because we constructed it that way. To make that a fraction where the divisor is NOT a factor, just change any of the coefficients. Then the divisor will no longer go in evenly.</span>
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The shadow of a tree measures 25 feet from its base. The angle of elevation to the Sun is 31º How tall is the tree? Round your a
grigory [225]

Answer: 15 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Tan α = opposite side / adjacent side

Where α is the angle of elevation to the sun, , the opposite side (x) is the height of the tree, and the adjacent side is the length of the shadow.

Replacing with the values given:  

Tan 31 = x /25

Tan 31 (25) =x

x = 15 feet

Feel free to ask for more if needed or if you did not understand something.  

4 0
3 years ago
If f(x) = 3x + 2, what is f(5)?
emmasim [6.3K]

Answer:

17

Step-by-step explanation:

f(x) = 3x + 2

Let x=5

f(5) = 3*5 + 2

Multiply first

    = 15+2

Then add

    = 17

6 0
2 years ago
Read 2 more answers
A bird feeder 24 times using 6 cups each time. A bag of seeds holds 32 cups. How many bags of seed did he use?
pishuonlain [190]

First, let's find how many cups the bird feeder uses 24 times.

24 x 6 = (20 x 6) + (4 x 6) = 120 + 24 = 148 cups.

Now, let's divide 148 by 32.

148 ÷ 32 = 4.625 bags of seed.

I hope this helped!

6 0
2 years ago
Question: The hypotenuse of a right triangle has a length of 14 units and a side that is 9 units long. Which equation can be use
kramer

Answer:

The hypotenuse is the longest side in a triangle.

a^2=b^2+c^2.

14^2=9^2+c^2.

c^2=196-81.

c^2=115.

c=√115.

c=10.72~11cm

5 0
3 years ago
A rectangle has a length of (5x+2) and a width of (3x-1) with an area of 308 square units. Find the perimeter
nadya68 [22]
See photo. Hope this helps

7 0
2 years ago
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