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3 years ago

Which of the following is a polynomial with roots: − square root of 5 , square root of 5 , and −3?

1 answer:

4 0

Roots: - √5 , √5, and - 3

=> these are factors of the polynomial: (x + √5), (x - √5), and (x + 3).

Multiply those three factors:

(x + √5) (x - √5) ( x + 3) = [x^2 - 5] ( x + 3 ) = x^2 + 3x^2 - 5x - 15

Therefore the polynomial x^2 + 3x^2 - 5x - 15 is a polynomial with the given roots.

Answer: option B. x^3 + 3x^2 - 5x - 15

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F(x)= (x - 6)(x + 2)?<br> What is the vertex of the quadratic function

Mars2501 [29]

Answer:

With this form, we can tell that the x intercepts are x=6 and x=-2. So the x coordinate of the vertex is 2

Step-by-step explanation:

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3 years ago

What is the equation of the line

ohaa [14]

The equation of the line is y = (1/2)x + 2

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2 years ago

Evaluate -15a (-3) for a= 2 and b=-3<br> A.) 5/24 B.) -5/24 C.) -1080 D.) -40/3

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3 years ago

Find the area of each figure to the nearest tenth.

sergey [27]

Answer:

Area of triangle ABC=7 square units

Area of triangle A'B'C'=7 square units

Step-by-step explanation:

Triangle ABC is the preimage of triangle A'B'C' under a reflection in the line x=0.

The two triangles are congruent so they have the same area.

We can calculate the area by counting the unit squares the triangle covered.

Each full box is 1 units square.

Each triangle covered

1 full box and 12 partially covered boxes.

Each partial box covered is 0.5 square units.

Therefore the area is

$Area=1+0.5\times12$

$Area=1+6$

$Area=7$ square units

6 0

3 years ago

Midpoint of (-3,2) (3,2)

Leno4ka [110]

Answer: (0, 2)

Step-by-step explanation:

Do (x1+x2/2, y1+y2/2) as your formula to find the midpoints. -3+3/2=0 and 2+2/2=2 so the midpoint is (0, 2). Hope this helps, have a blessed and wonderful day as well as a safe one and stay healthy!

3 0

2 years ago