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ira [324]
3 years ago
6

Is the binomial a factor of the polynomial nominal function?

Mathematics
1 answer:
Sedbober [7]3 years ago
7 0

The factors for given equation f(x)=x^{3} +3x^{2} -25x-75.

  • (x-1) - No
  • (x-3) - No
  • (x+3) - Yes
  • (x-5) - Yes
  • (x+5) - Yes

<u>Step-by-step explanation:</u>

The given equation is f(x)=x^{3} +3x^{2} -25x-75 .

Add 0 at the end of the equation.

x^{3} +3x^{2} -25x-75 = 0.

Let us group the given equation,

(x^{3} +3x^{2}) -(25x-75) =0.

⇒ Group 1: x^{3} +3x^{2} .

Group 2: - 25x +75 .

Pull out factor from each group,

⇒ Group 1: (x+3)(x^{2}).

Group 2: (x+3) (-25).

Join the two group since both (x+3) is common in both groups.

(x+3)(x^{2} -25) =0.

One of the factor is (x+3).

Other factors are solved by the formula, a^{2}-b^{2} = (a+b) (a-b) .

(x+3)(x^{2} -25) = (x+5) (x-5) .

The other factors are (x+5) and (x-5).

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In the accompanying diagram, parallelogram ABCD has
Taya2010 [7]

Answer:

The area of the paralellogram is 24 square units.

Step-by-step explanation:

Geometrically speaking, the area of the parallelogram has an equation equivalent to the area formula for a rectangle, that is:

A = b\cdot h (1)

Where:

A - Area.

b - Base.

h - Height.

The base and height of the parallelogram are, respectively:

Base

b = 8-2

b = 6

Height

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h = 4

Then, the area of the parallelogram is:

A = (6)\cdot (4)

A = 24

The area of the paralellogram is 24 square units.

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3 years ago
Whatcha of the following represent the solution to the given quadratic inequality? y≤-x^2-3x+10?
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Answer:

correct do

Step-by-step explanation:

6 0
2 years ago
Jacob went camping with his family. At 7:15 A.M., Jacob set out to go fishing. It took 1 hour and 45 minutes to hike to the lake
GREYUIT [131]

Answer:

  1. 7:15 A.M.
  2. 1 hour and 45 min = 105 min
  3. 3 hour 45 min= 225 min
  4. 1 hour and 15 min = 105 min
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7 0
3 years ago
Which lines are parallel if M^4 +M^5? Justify your answer.
Igoryamba
Opposite angles formed by two intersecting lines are equal, so angle 1 is the same as angle 4. That means angle 1 = angle 5 as well. 

<span>When a line intersects two parallel lines, the corresponding angles are equal. That is, if r and s are parallel, then the angles formed when l intersects r are the same s the angles formed when l intersects s. Angle 1 = Angle 5, Angle 2 = Angle 6, and so forth. Since we know angle 1 = angle 5, so from that you can see that r and s are parallel</span>
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Greg is practicing for a marathon to start he ran 2 miles around the track he wants to know how many yards this is how many yard
IgorC [24]

Answer:

3520 yards

Step-by-step explanation:

1 mile = 1760 yards

2 miles = 2(1760)=3520 yards

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3 years ago
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