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2 years ago

Using synthetic division, what is the factored form of this polynomial?x^4+6x^3+33x^2+150x+200

Mathematics

2 answers:

marta [7]2 years ago

5 0

Answer:

I’m pretty sure it’s A.

Step-by-step explanation:

ioda2 years ago

4 0

x^4 + 6x^3 + 33x^2 + 150x + 200

x^4 + 2x^3 + 4x^3 + 8x^2 + 25x^2 + 50x + 100x + 200

x^3 x (x + 2) + 4x^2 x (x + 2) + 25x x (x+2) + 100 (x + 2)

(x + 2) x (x^3 + 4x^2 + 25x + 100)

(x + 2) x (x^2 x (x + 4) + 25 (x + 4))

solution : (x + 2) x (x + 4) x (x^2 + 25)

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The process of using the same or similar experimental units for all treatments is called:______

Charra [1.4K]

Answer:

replicating

Step-by-step explanation:

3 0

2 years ago

The hypotenuse of a 45°-45°-90° triangle measures 10 StartRoot 5 EndRoot in. A right triangle is shown. The hypotenuse has a len

suter [353]

Answer:

$5\sqrt{10}\ units$

5 StartRoot 10 EndRoot

Step-by-step explanation:

we know that

The legs of a 45°-45°-90° triangle are congruent

Let

x ----> the length of one leg of the triangle

Applying the Pythagorean Theorem

$c^2=a^2+b^2$

where

c is the hypotenuse

a and b are the legs

we have

$c=10\sqrt{5}\ units$

$a=b=x\ units$

substitute

$(10\sqrt{5})^2=x^2+x^2$

$500=2x^2\\x^2=250\\x=\sqrt{250}\ units$

Simplify

$x=5\sqrt{10}\ units$

5 StartRoot 10 EndRoot

4 0

2 years ago

Read 2 more answers

A rectangular area is formed having a perimeter of 40 cm. Determine the length and breadth of the rectangle if it is to enclose

Vilka [71]

Let x and y be the dimensions of the rectangle. If the perimeter is 40, we have

$2(x+y)=40 \iff x+y=20$

We can expression one variable in terms of the others as

$x+y=20 \iff x=20-y$

Since the area is the product of the dimensions, we have

$xy=(20-y)y=-y^2+20y$

This is a parabola facing down, so it's vertex is the maximum:

$f(y)=-y^2+20y \implies f'(y)=-2y+20$

So, the maximum is

$f'(y)=0 \iff -2y+20=0 \iff 2y=20 \iff y=10$

And since we know that $x+y=20$ , we have $x=10$ as well.

This is actually a well known theorem: out of all the rectangles with given perimeter, the one with the greatest area is the square.

5 0

2 years ago

Choose 5 ordered pairs whose first component is the additive inverse of the second component. Plot these points and connect them

Lerok [7]

Let ordered pairs
X Y
-1 1
-2 2
-3 3
-4 4
-5 5
 What kind of figure do you get?
For this case a straight line was obtained, whose equation is
 y = -x
 In what quadrants does the figure lie?
The figure is in the second quadrant. (See graphic)

3 0

2 years ago

Read 2 more answers

A researcher in environmental science is conducting a study to investigate the impact of a particular herbicide on fish. He has

Vedmedyk [2.9K]

Answer:

The herbicide has no impact on fish

Step-by-step explanation:

Experimental research includes to divide the concerned group 'fishes' here into 'treatment' & 'control' group, to study impact of a treatment. Hypothesis test the statistical significance of propositions. Null hypothesis signifies no impact, alternate hypothesis signifies impact.

Let averages enzyme level of treatment & control be Xt & Xc

Null Hypothesis [H0] : Xt = Xc, or Xt - Xc = 0
Alternate Hypothesis [H1] : Xt ≠ Xc, or Xt - Xc ≠ 0

If hypothesis test suggests that there is no significant difference between treatment & control group enzyme level, so we reject H0 & accept H1. It implies that the herbicide has no significant impact on fishes enzymes.

8 0

2 years ago