All categories

3 years ago

What is a quadratic polynomial function with zeros 3 and -3?

Mathematics

1 answer:

Lemur [1.5K]3 years ago

8 0

Answer:

f(x) = x² - 9

Step-by-step explanation:

Given x = a is a zero of the polynomial f(x) then (x - a) is a factor

Given zeros are x = 3 and x = - 3, then corresponding factors are

(x - 3) and (x - (- 3) ), that is

(x - 3) and (x + 3)

The function is then the product of the factors, that is

f(x) = (x - 3)(x + 3) ← expand using FOIL

f(x) = x² - 9

You might be interested in

A boy flying a kite lets out 300 feet of string. The height of the kite is 185 feet. What is the angle

Nataliya [291]

Answer:

The string, the height and the ground form a right triangle

The hypotenuse = 300

height =185 = opposite side

sine of the angle = 185 / 300 = 0.6166666667

arc sine (.616666666666) =

38.073 degrees

Step-by-step explanation:

4 0

3 years ago

72 is 40% of what number

matrenka [14]

40/100=0.4 and 72/0.4=180
so the answer is 180

6 0

3 years ago

Read 2 more answers

An observational study is described. Determine the given element. An educational researcher used school records to determine tha

Lelu [443]

Answer:

Step-by-step explanation:

The parameter of interest summarizes the population of interest as a whole. It also gives the value that summarizes the entire population

In this case study the parameter of interest is all children in both two parents and single parent homes living in school districts.

5 0

3 years ago

What is the surface area of the triangular prism shown?

Lunna [17]

Answer:

The first step that we are going to do is to solve the area of the top rectangle. We are given a width of 15 cm and a length of 25 cm so we can just multiply them against each other to get the area.

$Area = l * w$

$Area = 25\ cm * 15\ cm$

$Area = 375\ cm^2$

The second side that we are going to solve for is the bottom rectangle. We are given a width of 12 cm and a length of 25 cm so lets just multiply them against each other to get the area.

$Area = l * w$

$Area = 25\ cm * 12\ cm$

$Area = 300\ cm^2$

The next area that we are going to determine is the back rectangle which has a width of 9 cm and a length of 25 cm so lets just multiply them against each other to get the area.

$Area = l * w$

$Area = 25\ cm * 9\ cm$

$Area = 225\ cm^2$

The final area that we have to determine are the side triangles. After determining the area of one triangle we will have to multiply it by 2 to get the area for both of the triangles. We are given a base of 12 cm and a height of 9 cm so lets just use the formula to find the area.

$Area = \frac{1}{2}* b*h$

$Area = \frac{1}{2}* 12\ cm*9\ cm$

$Area = 54\ cm^2$

Multiply it by two to get the area for both of the triangles.

$Area = 54\ cm^2 * 2$

$Area = 108\ cm^2$

Finally, we are onto the last part which is to add up all of the areas and get the surface area after we combine everything.

$Area_{total}=375\ cm^2 + 300\ cm^2 + 225\ cm^2 + 108\ cm^2$

$Area_{total}=1008\ cm^2$

Therefore, our final answer is option B, 1008 $cm^2$

Hope this helps!

4 0

2 years ago

What is the scientific notation of 1,980,000,000

cupoosta [38]

1.98x10^9. move the decimal until you have one number in front of it. then keep the numbers that are not 0 after it. then count how many places you moved the decimal point and that's your power.

6 0

3 years ago

What is a quadratic polynomial function with zeros 3 and -3?​

What is a quadratic polynomial function with zeros 3 and -3?